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Finding the Fourth Proportional to 284,089.28, 425,884.30 and 115,751.16

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Solution

The fourth proportional to 284,089.28, 425,884.30 and 115,751.16 is: 173,525.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,089.28 : 425,884.30 = 115,751.16 : x
  2. Step 2: Convert to fraction form
    284,089.28/425,884.30 = 115,751.16/x
  3. Step 3: Cross multiply
    284,089.28x = 425,884.30 × 115,751.16
  4. Step 4: Simplify right side
    284,089.28x = 49,296,601,461.41
  5. Step 5: Solve for x
    x = 49,296,601,461.41/284,089.28
  6. Step 6: Final answer
    x = 173,525.04

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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.