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Finding the Fourth Proportional to 220,095.16, 330,046.60 and 77,893.17

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Solution

The fourth proportional to 220,095.16, 330,046.60 and 77,893.17 is: 116,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,095.16 : 330,046.60 = 77,893.17 : x
  2. Step 2: Convert to fraction form
    220,095.16/330,046.60 = 77,893.17/x
  3. Step 3: Cross multiply
    220,095.16x = 330,046.60 × 77,893.17
  4. Step 4: Simplify right side
    220,095.16x = 25,708,376,491.88
  5. Step 5: Solve for x
    x = 25,708,376,491.88/220,095.16
  6. Step 6: Final answer
    x = 116,805.73

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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.