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Finding the Fourth Proportional to 161,402.10, 242,103.15 and 116,819.70

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Solution

The fourth proportional to 161,402.10, 242,103.15 and 116,819.70 is: 175,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402.10 : 242,103.15 = 116,819.70 : x
  2. Step 2: Convert to fraction form
    161,402.10/242,103.15 = 116,819.70/x
  3. Step 3: Cross multiply
    161,402.10x = 242,103.15 × 116,819.70
  4. Step 4: Simplify right side
    161,402.10x = 28,282,417,352.06
  5. Step 5: Solve for x
    x = 28,282,417,352.06/161,402.10
  6. Step 6: Final answer
    x = 175,229.55

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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.