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Finding the Fourth Proportional to 177,422, 266,206.08 and 130,277.84

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Solution

The fourth proportional to 177,422, 266,206.08 and 130,277.84 is: 195,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,422 : 266,206.08 = 130,277.84 : x
  2. Step 2: Convert to fraction form
    177,422/266,206.08 = 130,277.84/x
  3. Step 3: Cross multiply
    177,422x = 266,206.08 × 130,277.84
  4. Step 4: Simplify right side
    177,422x = 34,680,753,097.27
  5. Step 5: Solve for x
    x = 34,680,753,097.27/177,422
  6. Step 6: Final answer
    x = 195,470.42

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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.