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Finding the Fourth Proportional to 99,288.80, 148,933.20 and 25,416.80

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Solution

The fourth proportional to 99,288.80, 148,933.20 and 25,416.80 is: 38,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,288.80 : 148,933.20 = 25,416.80 : x
  2. Step 2: Convert to fraction form
    99,288.80/148,933.20 = 25,416.80/x
  3. Step 3: Cross multiply
    99,288.80x = 148,933.20 × 25,416.80
  4. Step 4: Simplify right side
    99,288.80x = 3,785,405,357.76
  5. Step 5: Solve for x
    x = 3,785,405,357.76/99,288.80
  6. Step 6: Final answer
    x = 38,125.20

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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.