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Finding the Fourth Proportional to 177,905.25, 266,686.59 and 65,524.17

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Solution

The fourth proportional to 177,905.25, 266,686.59 and 65,524.17 is: 98,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,905.25 : 266,686.59 = 65,524.17 : x
  2. Step 2: Convert to fraction form
    177,905.25/266,686.59 = 65,524.17/x
  3. Step 3: Cross multiply
    177,905.25x = 266,686.59 × 65,524.17
  4. Step 4: Simplify right side
    177,905.25x = 17,474,418,705.67
  5. Step 5: Solve for x
    x = 17,474,418,705.67/177,905.25
  6. Step 6: Final answer
    x = 98,223.18

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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.