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Finding the Fourth Proportional to 156,115.89, 215,532.77 and 102,494.90

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Solution

The fourth proportional to 156,115.89, 215,532.77 and 102,494.90 is: 141,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,115.89 : 215,532.77 = 102,494.90 : x
  2. Step 2: Convert to fraction form
    156,115.89/215,532.77 = 102,494.90/x
  3. Step 3: Cross multiply
    156,115.89x = 215,532.77 × 102,494.90
  4. Step 4: Simplify right side
    156,115.89x = 22,091,009,734.23
  5. Step 5: Solve for x
    x = 22,091,009,734.23/156,115.89
  6. Step 6: Final answer
    x = 141,503.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.