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Finding the Fourth Proportional to 156,391.68, 215,920.32 and 102,771.84

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Solution

The fourth proportional to 156,391.68, 215,920.32 and 102,771.84 is: 141,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,391.68 : 215,920.32 = 102,771.84 : x
  2. Step 2: Convert to fraction form
    156,391.68/215,920.32 = 102,771.84/x
  3. Step 3: Cross multiply
    156,391.68x = 215,920.32 × 102,771.84
  4. Step 4: Simplify right side
    156,391.68x = 22,190,528,579.79
  5. Step 5: Solve for x
    x = 22,190,528,579.79/156,391.68
  6. Step 6: Final answer
    x = 141,890.72

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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.