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Finding the Fourth Proportional to 177,551.70, 266,327.55 and 51,191.70

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Solution

The fourth proportional to 177,551.70, 266,327.55 and 51,191.70 is: 76,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,551.70 : 266,327.55 = 51,191.70 : x
  2. Step 2: Convert to fraction form
    177,551.70/266,327.55 = 51,191.70/x
  3. Step 3: Cross multiply
    177,551.70x = 266,327.55 × 51,191.70
  4. Step 4: Simplify right side
    177,551.70x = 13,633,760,041.34
  5. Step 5: Solve for x
    x = 13,633,760,041.34/177,551.70
  6. Step 6: Final answer
    x = 76,787.55

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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.