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Finding the Fourth Proportional to 156,744.70, 235,117.05 and 116,827.90

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Solution

The fourth proportional to 156,744.70, 235,117.05 and 116,827.90 is: 175,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,744.70 : 235,117.05 = 116,827.90 : x
  2. Step 2: Convert to fraction form
    156,744.70/235,117.05 = 116,827.90/x
  3. Step 3: Cross multiply
    156,744.70x = 235,117.05 × 116,827.90
  4. Step 4: Simplify right side
    156,744.70x = 27,468,231,205.70
  5. Step 5: Solve for x
    x = 27,468,231,205.70/156,744.70
  6. Step 6: Final answer
    x = 175,241.85

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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.