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Finding the Fourth Proportional to 220,095.13, 330,046.55 and 77,893.14

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Solution

The fourth proportional to 220,095.13, 330,046.55 and 77,893.14 is: 116,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,095.13 : 330,046.55 = 77,893.14 : x
  2. Step 2: Convert to fraction form
    220,095.13/330,046.55 = 77,893.14/x
  3. Step 3: Cross multiply
    220,095.13x = 330,046.55 × 77,893.14
  4. Step 4: Simplify right side
    220,095.13x = 25,708,362,320.40
  5. Step 5: Solve for x
    x = 25,708,362,320.40/220,095.13
  6. Step 6: Final answer
    x = 116,805.69

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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.