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Finding the Fourth Proportional to 99,500.14, 137,319.88 and 74,305.90

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Solution

The fourth proportional to 99,500.14, 137,319.88 and 74,305.90 is: 102,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,500.14 : 137,319.88 = 74,305.90 : x
  2. Step 2: Convert to fraction form
    99,500.14/137,319.88 = 74,305.90/x
  3. Step 3: Cross multiply
    99,500.14x = 137,319.88 × 74,305.90
  4. Step 4: Simplify right side
    99,500.14x = 10,203,677,271.29
  5. Step 5: Solve for x
    x = 10,203,677,271.29/99,500.14
  6. Step 6: Final answer
    x = 102,549.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.