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Finding the Fourth Proportional to 77,807.80, 116,517.30 and 62,255.80

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Solution

The fourth proportional to 77,807.80, 116,517.30 and 62,255.80 is: 93,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.80 : 116,517.30 = 62,255.80 : x
  2. Step 2: Convert to fraction form
    77,807.80/116,517.30 = 62,255.80/x
  3. Step 3: Cross multiply
    77,807.80x = 116,517.30 × 62,255.80
  4. Step 4: Simplify right side
    77,807.80x = 7,253,877,725.34
  5. Step 5: Solve for x
    x = 7,253,877,725.34/77,807.80
  6. Step 6: Final answer
    x = 93,228.16

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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.