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Finding the Fourth Proportional to 284,197.16, 392,195.36 and 156,872.88

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Solution

The fourth proportional to 284,197.16, 392,195.36 and 156,872.88 is: 216,486.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,197.16 : 392,195.36 = 156,872.88 : x
  2. Step 2: Convert to fraction form
    284,197.16/392,195.36 = 156,872.88/x
  3. Step 3: Cross multiply
    284,197.16x = 392,195.36 × 156,872.88
  4. Step 4: Simplify right side
    284,197.16x = 61,524,815,645.84
  5. Step 5: Solve for x
    x = 61,524,815,645.84/284,197.16
  6. Step 6: Final answer
    x = 216,486.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.