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Finding the Fourth Proportional to 113,188.60, 156,002.55 and 82,909.57

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Solution

The fourth proportional to 113,188.60, 156,002.55 and 82,909.57 is: 114,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,188.60 : 156,002.55 = 82,909.57 : x
  2. Step 2: Convert to fraction form
    113,188.60/156,002.55 = 82,909.57/x
  3. Step 3: Cross multiply
    113,188.60x = 156,002.55 × 82,909.57
  4. Step 4: Simplify right side
    113,188.60x = 12,934,104,339.40
  5. Step 5: Solve for x
    x = 12,934,104,339.40/113,188.60
  6. Step 6: Final answer
    x = 114,270.38

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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.