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Finding the Fourth Proportional to 177,701.68, 266,513.17 and 51,314.41

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Solution

The fourth proportional to 177,701.68, 266,513.17 and 51,314.41 is: 76,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,701.68 : 266,513.17 = 51,314.41 : x
  2. Step 2: Convert to fraction form
    177,701.68/266,513.17 = 51,314.41/x
  3. Step 3: Cross multiply
    177,701.68x = 266,513.17 × 51,314.41
  4. Step 4: Simplify right side
    177,701.68x = 13,675,966,376.85
  5. Step 5: Solve for x
    x = 13,675,966,376.85/177,701.68
  6. Step 6: Final answer
    x = 76,960.25

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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.