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Finding the Fourth Proportional to 10,249,978.34, 15,380,642.52 and 6,141,202.45

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Solution

The fourth proportional to 10,249,978.34, 15,380,642.52 and 6,141,202.45 is: 9,215,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249,978.34 : 15,380,642.52 = 6,141,202.45 : x
  2. Step 2: Convert to fraction form
    10,249,978.34/15,380,642.52 = 6,141,202.45/x
  3. Step 3: Cross multiply
    10,249,978.34x = 15,380,642.52 × 6,141,202.45
  4. Step 4: Simplify right side
    10,249,978.34x = 94,455,639,526,398.17
  5. Step 5: Solve for x
    x = 94,455,639,526,398.17/10,249,978.34
  6. Step 6: Final answer
    x = 9,215,203.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.