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Finding the Fourth Proportional to 177,712.84, 266,339.63 and 132,988.69

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Solution

The fourth proportional to 177,712.84, 266,339.63 and 132,988.69 is: 199,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,712.84 : 266,339.63 = 132,988.69 : x
  2. Step 2: Convert to fraction form
    177,712.84/266,339.63 = 132,988.69/x
  3. Step 3: Cross multiply
    177,712.84x = 266,339.63 × 132,988.69
  4. Step 4: Simplify right side
    177,712.84x = 35,420,158,488.78
  5. Step 5: Solve for x
    x = 35,420,158,488.78/177,712.84
  6. Step 6: Final answer
    x = 199,311.19

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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.