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Finding the Fourth Proportional to 156,758.90, 216,323.71 and 85,137.38

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Solution

The fourth proportional to 156,758.90, 216,323.71 and 85,137.38 is: 117,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,758.90 : 216,323.71 = 85,137.38 : x
  2. Step 2: Convert to fraction form
    156,758.90/216,323.71 = 85,137.38/x
  3. Step 3: Cross multiply
    156,758.90x = 216,323.71 × 85,137.38
  4. Step 4: Simplify right side
    156,758.90x = 18,417,233,901.28
  5. Step 5: Solve for x
    x = 18,417,233,901.28/156,758.90
  6. Step 6: Final answer
    x = 117,487.64

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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.