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Finding the Fourth Proportional to 283,601.10, 425,000.70 and 157,297

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Solution

The fourth proportional to 283,601.10, 425,000.70 and 157,297 is: 235,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,601.10 : 425,000.70 = 157,297 : x
  2. Step 2: Convert to fraction form
    283,601.10/425,000.70 = 157,297/x
  3. Step 3: Cross multiply
    283,601.10x = 425,000.70 × 157,297
  4. Step 4: Simplify right side
    283,601.10x = 66,851,335,107.90
  5. Step 5: Solve for x
    x = 66,851,335,107.90/283,601.10
  6. Step 6: Final answer
    x = 235,723.12

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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.