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Finding the Fourth Proportional to 161,881.20, 242,821.80 and 146,134.80

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Solution

The fourth proportional to 161,881.20, 242,821.80 and 146,134.80 is: 219,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,881.20 : 242,821.80 = 146,134.80 : x
  2. Step 2: Convert to fraction form
    161,881.20/242,821.80 = 146,134.80/x
  3. Step 3: Cross multiply
    161,881.20x = 242,821.80 × 146,134.80
  4. Step 4: Simplify right side
    161,881.20x = 35,484,715,178.64
  5. Step 5: Solve for x
    x = 35,484,715,178.64/161,881.20
  6. Step 6: Final answer
    x = 219,202.20

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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.