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Finding the Fourth Proportional to 137,041.13, 205,468.16 and 73,008.85

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Solution

The fourth proportional to 137,041.13, 205,468.16 and 73,008.85 is: 109,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.13 : 205,468.16 = 73,008.85 : x
  2. Step 2: Convert to fraction form
    137,041.13/205,468.16 = 73,008.85/x
  3. Step 3: Cross multiply
    137,041.13x = 205,468.16 × 73,008.85
  4. Step 4: Simplify right side
    137,041.13x = 15,000,993,194.50
  5. Step 5: Solve for x
    x = 15,000,993,194.50/137,041.13
  6. Step 6: Final answer
    x = 109,463.44

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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.