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Finding the Fourth Proportional to 161,806.40, 242,767.20 and 156,046.40

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Solution

The fourth proportional to 161,806.40, 242,767.20 and 156,046.40 is: 234,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,806.40 : 242,767.20 = 156,046.40 : x
  2. Step 2: Convert to fraction form
    161,806.40/242,767.20 = 156,046.40/x
  3. Step 3: Cross multiply
    161,806.40x = 242,767.20 × 156,046.40
  4. Step 4: Simplify right side
    161,806.40x = 37,882,947,598.08
  5. Step 5: Solve for x
    x = 37,882,947,598.08/161,806.40
  6. Step 6: Final answer
    x = 234,125.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.