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Finding the Fourth Proportional to 613,281.11, 919,856.94 and 164,047.31

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Solution

The fourth proportional to 613,281.11, 919,856.94 and 164,047.31 is: 246,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,281.11 : 919,856.94 = 164,047.31 : x
  2. Step 2: Convert to fraction form
    613,281.11/919,856.94 = 164,047.31/x
  3. Step 3: Cross multiply
    613,281.11x = 919,856.94 × 164,047.31
  4. Step 4: Simplify right side
    613,281.11x = 150,900,051,992.55
  5. Step 5: Solve for x
    x = 150,900,051,992.55/613,281.11
  6. Step 6: Final answer
    x = 246,053.65

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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.