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Finding the Fourth Proportional to 177,702.94, 266,422.73 and 107,565.66

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Solution

The fourth proportional to 177,702.94, 266,422.73 and 107,565.66 is: 161,268.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,702.94 : 266,422.73 = 107,565.66 : x
  2. Step 2: Convert to fraction form
    177,702.94/266,422.73 = 107,565.66/x
  3. Step 3: Cross multiply
    177,702.94x = 266,422.73 × 107,565.66
  4. Step 4: Simplify right side
    177,702.94x = 28,657,936,791.45
  5. Step 5: Solve for x
    x = 28,657,936,791.45/177,702.94
  6. Step 6: Final answer
    x = 161,268.78

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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.