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Finding the Fourth Proportional to 156,884, 216,500.24 and 86,228

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Solution

The fourth proportional to 156,884, 216,500.24 and 86,228 is: 118,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,884 : 216,500.24 = 86,228 : x
  2. Step 2: Convert to fraction form
    156,884/216,500.24 = 86,228/x
  3. Step 3: Cross multiply
    156,884x = 216,500.24 × 86,228
  4. Step 4: Simplify right side
    156,884x = 18,668,382,694.72
  5. Step 5: Solve for x
    x = 18,668,382,694.72/156,884
  6. Step 6: Final answer
    x = 118,994.82

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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.