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Finding the Fourth Proportional to 277,542.28, 416,328.16 and 88,017.58

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Solution

The fourth proportional to 277,542.28, 416,328.16 and 88,017.58 is: 132,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542.28 : 416,328.16 = 88,017.58 : x
  2. Step 2: Convert to fraction form
    277,542.28/416,328.16 = 88,017.58/x
  3. Step 3: Cross multiply
    277,542.28x = 416,328.16 × 88,017.58
  4. Step 4: Simplify right side
    277,542.28x = 36,644,197,129.05
  5. Step 5: Solve for x
    x = 36,644,197,129.05/277,542.28
  6. Step 6: Final answer
    x = 132,031.04

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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.