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Finding the Fourth Proportional to 96,462.40, 144,499.20 and 54,860.80

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Solution

The fourth proportional to 96,462.40, 144,499.20 and 54,860.80 is: 82,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,462.40 : 144,499.20 = 54,860.80 : x
  2. Step 2: Convert to fraction form
    96,462.40/144,499.20 = 54,860.80/x
  3. Step 3: Cross multiply
    96,462.40x = 144,499.20 × 54,860.80
  4. Step 4: Simplify right side
    96,462.40x = 7,927,341,711.36
  5. Step 5: Solve for x
    x = 7,927,341,711.36/96,462.40
  6. Step 6: Final answer
    x = 82,180.64

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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.