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Finding the Fourth Proportional to 153,591.68, 211,957.49 and 85,612.95

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Solution

The fourth proportional to 153,591.68, 211,957.49 and 85,612.95 is: 118,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,591.68 : 211,957.49 = 85,612.95 : x
  2. Step 2: Convert to fraction form
    153,591.68/211,957.49 = 85,612.95/x
  3. Step 3: Cross multiply
    153,591.68x = 211,957.49 × 85,612.95
  4. Step 4: Simplify right side
    153,591.68x = 18,146,306,207.53
  5. Step 5: Solve for x
    x = 18,146,306,207.53/153,591.68
  6. Step 6: Final answer
    x = 118,146.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.