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Finding the Fourth Proportional to 137,038.97, 205,593.83 and 42,267.02

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Solution

The fourth proportional to 137,038.97, 205,593.83 and 42,267.02 is: 63,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.97 : 205,593.83 = 42,267.02 : x
  2. Step 2: Convert to fraction form
    137,038.97/205,593.83 = 42,267.02/x
  3. Step 3: Cross multiply
    137,038.97x = 205,593.83 × 42,267.02
  4. Step 4: Simplify right side
    137,038.97x = 8,689,838,524.49
  5. Step 5: Solve for x
    x = 8,689,838,524.49/137,038.97
  6. Step 6: Final answer
    x = 63,411.44

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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.