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Finding the Fourth Proportional to 102,083.74, 152,797.98 and 54,580.12

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Solution

The fourth proportional to 102,083.74, 152,797.98 and 54,580.12 is: 81,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,083.74 : 152,797.98 = 54,580.12 : x
  2. Step 2: Convert to fraction form
    102,083.74/152,797.98 = 54,580.12/x
  3. Step 3: Cross multiply
    102,083.74x = 152,797.98 × 54,580.12
  4. Step 4: Simplify right side
    102,083.74x = 8,339,732,084.16
  5. Step 5: Solve for x
    x = 8,339,732,084.16/102,083.74
  6. Step 6: Final answer
    x = 81,695.01

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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.