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Finding the Fourth Proportional to 177,980.95, 266,825.08 and 83,164.24

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Solution

The fourth proportional to 177,980.95, 266,825.08 and 83,164.24 is: 124,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,980.95 : 266,825.08 = 83,164.24 : x
  2. Step 2: Convert to fraction form
    177,980.95/266,825.08 = 83,164.24/x
  3. Step 3: Cross multiply
    177,980.95x = 266,825.08 × 83,164.24
  4. Step 4: Simplify right side
    177,980.95x = 22,190,304,991.14
  5. Step 5: Solve for x
    x = 22,190,304,991.14/177,980.95
  6. Step 6: Final answer
    x = 124,677.98

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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.