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Finding the Fourth Proportional to 177,900.84, 266,883.60 and 84,405.72

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Solution

The fourth proportional to 177,900.84, 266,883.60 and 84,405.72 is: 126,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,900.84 : 266,883.60 = 84,405.72 : x
  2. Step 2: Convert to fraction form
    177,900.84/266,883.60 = 84,405.72/x
  3. Step 3: Cross multiply
    177,900.84x = 266,883.60 × 84,405.72
  4. Step 4: Simplify right side
    177,900.84x = 22,526,502,414.19
  5. Step 5: Solve for x
    x = 22,526,502,414.19/177,900.84
  6. Step 6: Final answer
    x = 126,623.92

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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.