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Finding the Fourth Proportional to 177,375.84, 266,063.76 and 103,452

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Solution

The fourth proportional to 177,375.84, 266,063.76 and 103,452 is: 155,178

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,375.84 : 266,063.76 = 103,452 : x
  2. Step 2: Convert to fraction form
    177,375.84/266,063.76 = 103,452/x
  3. Step 3: Cross multiply
    177,375.84x = 266,063.76 × 103,452
  4. Step 4: Simplify right side
    177,375.84x = 27,524,828,099.52
  5. Step 5: Solve for x
    x = 27,524,828,099.52/177,375.84
  6. Step 6: Final answer
    x = 155,178

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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.