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Finding the Fourth Proportional to 177,330.60, 266,072.70 and 83,788.20

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Solution

The fourth proportional to 177,330.60, 266,072.70 and 83,788.20 is: 125,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,330.60 : 266,072.70 = 83,788.20 : x
  2. Step 2: Convert to fraction form
    177,330.60/266,072.70 = 83,788.20/x
  3. Step 3: Cross multiply
    177,330.60x = 266,072.70 × 83,788.20
  4. Step 4: Simplify right side
    177,330.60x = 22,293,752,602.14
  5. Step 5: Solve for x
    x = 22,293,752,602.14/177,330.60
  6. Step 6: Final answer
    x = 125,718.59

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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.