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Finding the Fourth Proportional to 177,874.83, 266,812.34 and 72,693.69

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Solution

The fourth proportional to 177,874.83, 266,812.34 and 72,693.69 is: 109,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,874.83 : 266,812.34 = 72,693.69 : x
  2. Step 2: Convert to fraction form
    177,874.83/266,812.34 = 72,693.69/x
  3. Step 3: Cross multiply
    177,874.83x = 266,812.34 × 72,693.69
  4. Step 4: Simplify right side
    177,874.83x = 19,395,573,532.13
  5. Step 5: Solve for x
    x = 19,395,573,532.13/177,874.83
  6. Step 6: Final answer
    x = 109,040.57

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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.