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Finding the Fourth Proportional to 96,177.80, 144,266.70 and 54,705.80

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Solution

The fourth proportional to 96,177.80, 144,266.70 and 54,705.80 is: 82,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,177.80 : 144,266.70 = 54,705.80 : x
  2. Step 2: Convert to fraction form
    96,177.80/144,266.70 = 54,705.80/x
  3. Step 3: Cross multiply
    96,177.80x = 144,266.70 × 54,705.80
  4. Step 4: Simplify right side
    96,177.80x = 7,892,225,236.86
  5. Step 5: Solve for x
    x = 7,892,225,236.86/96,177.80
  6. Step 6: Final answer
    x = 82,058.70

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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.