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Finding the Fourth Proportional to 102,073.50, 152,725.50 and 91,714.14

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Solution

The fourth proportional to 102,073.50, 152,725.50 and 91,714.14 is: 137,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.50 : 152,725.50 = 91,714.14 : x
  2. Step 2: Convert to fraction form
    102,073.50/152,725.50 = 91,714.14/x
  3. Step 3: Cross multiply
    102,073.50x = 152,725.50 × 91,714.14
  4. Step 4: Simplify right side
    102,073.50x = 14,007,087,888.57
  5. Step 5: Solve for x
    x = 14,007,087,888.57/102,073.50
  6. Step 6: Final answer
    x = 137,225.51

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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.