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Finding the Fourth Proportional to 268,283.80, 402,479.70 and 78,743.80

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Solution

The fourth proportional to 268,283.80, 402,479.70 and 78,743.80 is: 118,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,283.80 : 402,479.70 = 78,743.80 : x
  2. Step 2: Convert to fraction form
    268,283.80/402,479.70 = 78,743.80/x
  3. Step 3: Cross multiply
    268,283.80x = 402,479.70 × 78,743.80
  4. Step 4: Simplify right side
    268,283.80x = 31,692,781,000.86
  5. Step 5: Solve for x
    x = 31,692,781,000.86/268,283.80
  6. Step 6: Final answer
    x = 118,131.55

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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.