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Finding the Fourth Proportional to 195,511.60, 293,148.60 and 77,046.40

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Solution

The fourth proportional to 195,511.60, 293,148.60 and 77,046.40 is: 115,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,511.60 : 293,148.60 = 77,046.40 : x
  2. Step 2: Convert to fraction form
    195,511.60/293,148.60 = 77,046.40/x
  3. Step 3: Cross multiply
    195,511.60x = 293,148.60 × 77,046.40
  4. Step 4: Simplify right side
    195,511.60x = 22,586,044,295.04
  5. Step 5: Solve for x
    x = 22,586,044,295.04/195,511.60
  6. Step 6: Final answer
    x = 115,522.78

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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.