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Finding the Fourth Proportional to 177,301.17, 265,951.80 and 52,642.17

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Solution

The fourth proportional to 177,301.17, 265,951.80 and 52,642.17 is: 78,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,301.17 : 265,951.80 = 52,642.17 : x
  2. Step 2: Convert to fraction form
    177,301.17/265,951.80 = 52,642.17/x
  3. Step 3: Cross multiply
    177,301.17x = 265,951.80 × 52,642.17
  4. Step 4: Simplify right side
    177,301.17x = 14,000,279,867.41
  5. Step 5: Solve for x
    x = 14,000,279,867.41/177,301.17
  6. Step 6: Final answer
    x = 78,963.27

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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.