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Finding the Fourth Proportional to 107,315.20, 160,972.80 and 48,152.80

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Solution

The fourth proportional to 107,315.20, 160,972.80 and 48,152.80 is: 72,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,315.20 : 160,972.80 = 48,152.80 : x
  2. Step 2: Convert to fraction form
    107,315.20/160,972.80 = 48,152.80/x
  3. Step 3: Cross multiply
    107,315.20x = 160,972.80 × 48,152.80
  4. Step 4: Simplify right side
    107,315.20x = 7,751,291,043.84
  5. Step 5: Solve for x
    x = 7,751,291,043.84/107,315.20
  6. Step 6: Final answer
    x = 72,229.20

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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.