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Finding the Fourth Proportional to 177,662.40, 266,056.20 and 84,058.80

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Solution

The fourth proportional to 177,662.40, 266,056.20 and 84,058.80 is: 125,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,662.40 : 266,056.20 = 84,058.80 : x
  2. Step 2: Convert to fraction form
    177,662.40/266,056.20 = 84,058.80/x
  3. Step 3: Cross multiply
    177,662.40x = 266,056.20 × 84,058.80
  4. Step 4: Simplify right side
    177,662.40x = 22,364,364,904.56
  5. Step 5: Solve for x
    x = 22,364,364,904.56/177,662.40
  6. Step 6: Final answer
    x = 125,881.25

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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.