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Finding the Fourth Proportional to 137,463.92, 205,927.45 and 65,314.15

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Solution

The fourth proportional to 137,463.92, 205,927.45 and 65,314.15 is: 97,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,463.92 : 205,927.45 = 65,314.15 : x
  2. Step 2: Convert to fraction form
    137,463.92/205,927.45 = 65,314.15/x
  3. Step 3: Cross multiply
    137,463.92x = 205,927.45 × 65,314.15
  4. Step 4: Simplify right side
    137,463.92x = 13,449,977,114.32
  5. Step 5: Solve for x
    x = 13,449,977,114.32/137,463.92
  6. Step 6: Final answer
    x = 97,843.69

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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.