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Finding the Fourth Proportional to 110,877.80, 166,316.70 and 54,744.80

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Solution

The fourth proportional to 110,877.80, 166,316.70 and 54,744.80 is: 82,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,877.80 : 166,316.70 = 54,744.80 : x
  2. Step 2: Convert to fraction form
    110,877.80/166,316.70 = 54,744.80/x
  3. Step 3: Cross multiply
    110,877.80x = 166,316.70 × 54,744.80
  4. Step 4: Simplify right side
    110,877.80x = 9,104,974,478.16
  5. Step 5: Solve for x
    x = 9,104,974,478.16/110,877.80
  6. Step 6: Final answer
    x = 82,117.20

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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.