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Finding the Fourth Proportional to 156,742.60, 235,113.90 and 112,783.90

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Solution

The fourth proportional to 156,742.60, 235,113.90 and 112,783.90 is: 169,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742.60 : 235,113.90 = 112,783.90 : x
  2. Step 2: Convert to fraction form
    156,742.60/235,113.90 = 112,783.90/x
  3. Step 3: Cross multiply
    156,742.60x = 235,113.90 × 112,783.90
  4. Step 4: Simplify right side
    156,742.60x = 26,517,062,586.21
  5. Step 5: Solve for x
    x = 26,517,062,586.21/156,742.60
  6. Step 6: Final answer
    x = 169,175.85

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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.