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Finding the Fourth Proportional to 91,497.60, 137,465.10 and 81,874.80

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Solution

The fourth proportional to 91,497.60, 137,465.10 and 81,874.80 is: 123,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,497.60 : 137,465.10 = 81,874.80 : x
  2. Step 2: Convert to fraction form
    91,497.60/137,465.10 = 81,874.80/x
  3. Step 3: Cross multiply
    91,497.60x = 137,465.10 × 81,874.80
  4. Step 4: Simplify right side
    91,497.60x = 11,254,927,569.48
  5. Step 5: Solve for x
    x = 11,254,927,569.48/91,497.60
  6. Step 6: Final answer
    x = 123,007.90

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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.