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Finding the Fourth Proportional to 156,651.80, 216,178.75 and 85,031.20

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Solution

The fourth proportional to 156,651.80, 216,178.75 and 85,031.20 is: 117,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,651.80 : 216,178.75 = 85,031.20 : x
  2. Step 2: Convert to fraction form
    156,651.80/216,178.75 = 85,031.20/x
  3. Step 3: Cross multiply
    156,651.80x = 216,178.75 × 85,031.20
  4. Step 4: Simplify right side
    156,651.80x = 18,381,938,527
  5. Step 5: Solve for x
    x = 18,381,938,527/156,651.80
  6. Step 6: Final answer
    x = 117,342.66

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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.