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Finding the Fourth Proportional to 137,983.52, 206,802.14 and 59,004.87

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Solution

The fourth proportional to 137,983.52, 206,802.14 and 59,004.87 is: 88,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,983.52 : 206,802.14 = 59,004.87 : x
  2. Step 2: Convert to fraction form
    137,983.52/206,802.14 = 59,004.87/x
  3. Step 3: Cross multiply
    137,983.52x = 206,802.14 × 59,004.87
  4. Step 4: Simplify right side
    137,983.52x = 12,202,333,091.40
  5. Step 5: Solve for x
    x = 12,202,333,091.40/137,983.52
  6. Step 6: Final answer
    x = 88,433.27

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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.