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Finding the Fourth Proportional to 156,687.90, 235,185.45 and 77,891.10

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Solution

The fourth proportional to 156,687.90, 235,185.45 and 77,891.10 is: 116,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,687.90 : 235,185.45 = 77,891.10 : x
  2. Step 2: Convert to fraction form
    156,687.90/235,185.45 = 77,891.10/x
  3. Step 3: Cross multiply
    156,687.90x = 235,185.45 × 77,891.10
  4. Step 4: Simplify right side
    156,687.90x = 18,318,853,404.50
  5. Step 5: Solve for x
    x = 18,318,853,404.50/156,687.90
  6. Step 6: Final answer
    x = 116,913.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.