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Finding the Fourth Proportional to 156,947.90, 235,421.85 and 156,947.90

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Solution

The fourth proportional to 156,947.90, 235,421.85 and 156,947.90 is: 235,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947.90 : 235,421.85 = 156,947.90 : x
  2. Step 2: Convert to fraction form
    156,947.90/235,421.85 = 156,947.90/x
  3. Step 3: Cross multiply
    156,947.90x = 235,421.85 × 156,947.90
  4. Step 4: Simplify right side
    156,947.90x = 36,948,964,971.62
  5. Step 5: Solve for x
    x = 36,948,964,971.62/156,947.90
  6. Step 6: Final answer
    x = 235,421.85

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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.