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Finding the Fourth Proportional to 102,046.98, 152,925.11 and 75,181.70

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Solution

The fourth proportional to 102,046.98, 152,925.11 and 75,181.70 is: 112,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,046.98 : 152,925.11 = 75,181.70 : x
  2. Step 2: Convert to fraction form
    102,046.98/152,925.11 = 75,181.70/x
  3. Step 3: Cross multiply
    102,046.98x = 152,925.11 × 75,181.70
  4. Step 4: Simplify right side
    102,046.98x = 11,497,168,601.95
  5. Step 5: Solve for x
    x = 11,497,168,601.95/102,046.98
  6. Step 6: Final answer
    x = 112,665.45

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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.