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Finding the Fourth Proportional to 96,872.40, 145,114.20 and 55,270.80

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Solution

The fourth proportional to 96,872.40, 145,114.20 and 55,270.80 is: 82,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,872.40 : 145,114.20 = 55,270.80 : x
  2. Step 2: Convert to fraction form
    96,872.40/145,114.20 = 55,270.80/x
  3. Step 3: Cross multiply
    96,872.40x = 145,114.20 × 55,270.80
  4. Step 4: Simplify right side
    96,872.40x = 8,020,577,925.36
  5. Step 5: Solve for x
    x = 8,020,577,925.36/96,872.40
  6. Step 6: Final answer
    x = 82,795.28

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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.