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Finding the Fourth Proportional to 138,907.67, 208,390.66 and 45,406.13

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Solution

The fourth proportional to 138,907.67, 208,390.66 and 45,406.13 is: 68,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.67 : 208,390.66 = 45,406.13 : x
  2. Step 2: Convert to fraction form
    138,907.67/208,390.66 = 45,406.13/x
  3. Step 3: Cross multiply
    138,907.67x = 208,390.66 × 45,406.13
  4. Step 4: Simplify right side
    138,907.67x = 9,462,212,243.28
  5. Step 5: Solve for x
    x = 9,462,212,243.28/138,907.67
  6. Step 6: Final answer
    x = 68,118.72

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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.