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Finding the Fourth Proportional to 177,991.64, 266,932.36 and 51,641.16

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Solution

The fourth proportional to 177,991.64, 266,932.36 and 51,641.16 is: 77,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,991.64 : 266,932.36 = 51,641.16 : x
  2. Step 2: Convert to fraction form
    177,991.64/266,932.36 = 51,641.16/x
  3. Step 3: Cross multiply
    177,991.64x = 266,932.36 × 51,641.16
  4. Step 4: Simplify right side
    177,991.64x = 13,784,696,711.94
  5. Step 5: Solve for x
    x = 13,784,696,711.94/177,991.64
  6. Step 6: Final answer
    x = 77,445.75

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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.