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Finding the Fourth Proportional to 162,434.96, 224,153.84 and 89,833.05

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Solution

The fourth proportional to 162,434.96, 224,153.84 and 89,833.05 is: 123,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,434.96 : 224,153.84 = 89,833.05 : x
  2. Step 2: Convert to fraction form
    162,434.96/224,153.84 = 89,833.05/x
  3. Step 3: Cross multiply
    162,434.96x = 224,153.84 × 89,833.05
  4. Step 4: Simplify right side
    162,434.96x = 20,136,423,116.41
  5. Step 5: Solve for x
    x = 20,136,423,116.41/162,434.96
  6. Step 6: Final answer
    x = 123,966.07

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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.