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Finding the Fourth Proportional to 156,492, 215,958.96 and 89,424

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Solution

The fourth proportional to 156,492, 215,958.96 and 89,424 is: 123,405.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,492 : 215,958.96 = 89,424 : x
  2. Step 2: Convert to fraction form
    156,492/215,958.96 = 89,424/x
  3. Step 3: Cross multiply
    156,492x = 215,958.96 × 89,424
  4. Step 4: Simplify right side
    156,492x = 19,311,914,039.04
  5. Step 5: Solve for x
    x = 19,311,914,039.04/156,492
  6. Step 6: Final answer
    x = 123,405.12

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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.