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Finding the Fourth Proportional to 156,931.88, 216,567.40 and 85,312.04

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Solution

The fourth proportional to 156,931.88, 216,567.40 and 85,312.04 is: 117,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,931.88 : 216,567.40 = 85,312.04 : x
  2. Step 2: Convert to fraction form
    156,931.88/216,567.40 = 85,312.04/x
  3. Step 3: Cross multiply
    156,931.88x = 216,567.40 × 85,312.04
  4. Step 4: Simplify right side
    156,931.88x = 18,475,806,691.50
  5. Step 5: Solve for x
    x = 18,475,806,691.50/156,931.88
  6. Step 6: Final answer
    x = 117,731.38

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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.