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Finding the Fourth Proportional to 438,069.96, 657,141.81 and 138,543.87

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Solution

The fourth proportional to 438,069.96, 657,141.81 and 138,543.87 is: 207,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,069.96 : 657,141.81 = 138,543.87 : x
  2. Step 2: Convert to fraction form
    438,069.96/657,141.81 = 138,543.87/x
  3. Step 3: Cross multiply
    438,069.96x = 657,141.81 × 138,543.87
  4. Step 4: Simplify right side
    438,069.96x = 91,042,969,496.20
  5. Step 5: Solve for x
    x = 91,042,969,496.20/438,069.96
  6. Step 6: Final answer
    x = 207,827.47

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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.