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Finding the Fourth Proportional to 102,046.80, 152,920.80 and 91,516.80

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Solution

The fourth proportional to 102,046.80, 152,920.80 and 91,516.80 is: 137,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046.80 : 152,920.80 = 91,516.80 : x
  2. Step 2: Convert to fraction form
    102,046.80/152,920.80 = 91,516.80/x
  3. Step 3: Cross multiply
    102,046.80x = 152,920.80 × 91,516.80
  4. Step 4: Simplify right side
    102,046.80x = 13,994,822,269.44
  5. Step 5: Solve for x
    x = 13,994,822,269.44/102,046.80
  6. Step 6: Final answer
    x = 137,141.22

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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.