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Finding the Fourth Proportional to 156,902.52, 216,519.12 and 85,280.88

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Solution

The fourth proportional to 156,902.52, 216,519.12 and 85,280.88 is: 117,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,902.52 : 216,519.12 = 85,280.88 : x
  2. Step 2: Convert to fraction form
    156,902.52/216,519.12 = 85,280.88/x
  3. Step 3: Cross multiply
    156,902.52x = 216,519.12 × 85,280.88
  4. Step 4: Simplify right side
    156,902.52x = 18,464,941,090.43
  5. Step 5: Solve for x
    x = 18,464,941,090.43/156,902.52
  6. Step 6: Final answer
    x = 117,684.16

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1.5x scale

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.