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Finding the Fourth Proportional to 475,006.43, 712,556.42 and 138,050.02

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Solution

The fourth proportional to 475,006.43, 712,556.42 and 138,050.02 is: 207,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,006.43 : 712,556.42 = 138,050.02 : x
  2. Step 2: Convert to fraction form
    475,006.43/712,556.42 = 138,050.02/x
  3. Step 3: Cross multiply
    475,006.43x = 712,556.42 × 138,050.02
  4. Step 4: Simplify right side
    475,006.43x = 98,368,426,896.53
  5. Step 5: Solve for x
    x = 98,368,426,896.53/475,006.43
  6. Step 6: Final answer
    x = 207,088.62

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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.