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Finding the Fourth Proportional to 177,881.60, 266,166.30 and 162,135.20

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Solution

The fourth proportional to 177,881.60, 266,166.30 and 162,135.20 is: 242,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,881.60 : 266,166.30 = 162,135.20 : x
  2. Step 2: Convert to fraction form
    177,881.60/266,166.30 = 162,135.20/x
  3. Step 3: Cross multiply
    177,881.60x = 266,166.30 × 162,135.20
  4. Step 4: Simplify right side
    177,881.60x = 43,154,926,283.76
  5. Step 5: Solve for x
    x = 43,154,926,283.76/177,881.60
  6. Step 6: Final answer
    x = 242,604.78

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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.