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Finding the Fourth Proportional to 156,784.14, 216,366.13 and 85,168.26

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Solution

The fourth proportional to 156,784.14, 216,366.13 and 85,168.26 is: 117,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784.14 : 216,366.13 = 85,168.26 : x
  2. Step 2: Convert to fraction form
    156,784.14/216,366.13 = 85,168.26/x
  3. Step 3: Cross multiply
    156,784.14x = 216,366.13 × 85,168.26
  4. Step 4: Simplify right side
    156,784.14x = 18,427,526,815.03
  5. Step 5: Solve for x
    x = 18,427,526,815.03/156,784.14
  6. Step 6: Final answer
    x = 117,534.38

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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.