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Finding the Fourth Proportional to 177,218.70, 265,828.05 and 83,906.70

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Solution

The fourth proportional to 177,218.70, 265,828.05 and 83,906.70 is: 125,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,218.70 : 265,828.05 = 83,906.70 : x
  2. Step 2: Convert to fraction form
    177,218.70/265,828.05 = 83,906.70/x
  3. Step 3: Cross multiply
    177,218.70x = 265,828.05 × 83,906.70
  4. Step 4: Simplify right side
    177,218.70x = 22,304,754,442.94
  5. Step 5: Solve for x
    x = 22,304,754,442.94/177,218.70
  6. Step 6: Final answer
    x = 125,860.05

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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.