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Finding the Fourth Proportional to 284,147.02, 392,120.22 and 156,819.88

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Solution

The fourth proportional to 284,147.02, 392,120.22 and 156,819.88 is: 216,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,147.02 : 392,120.22 = 156,819.88 : x
  2. Step 2: Convert to fraction form
    284,147.02/392,120.22 = 156,819.88/x
  3. Step 3: Cross multiply
    284,147.02x = 392,120.22 × 156,819.88
  4. Step 4: Simplify right side
    284,147.02x = 61,492,245,845.97
  5. Step 5: Solve for x
    x = 61,492,245,845.97/284,147.02
  6. Step 6: Final answer
    x = 216,409.96

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1.5x scale

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.