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Finding the Fourth Proportional to 283,773.42, 425,785.59 and 148,805.24

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Solution

The fourth proportional to 283,773.42, 425,785.59 and 148,805.24 is: 223,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,773.42 : 425,785.59 = 148,805.24 : x
  2. Step 2: Convert to fraction form
    283,773.42/425,785.59 = 148,805.24/x
  3. Step 3: Cross multiply
    283,773.42x = 425,785.59 × 148,805.24
  4. Step 4: Simplify right side
    283,773.42x = 63,359,124,779.56
  5. Step 5: Solve for x
    x = 63,359,124,779.56/283,773.42
  6. Step 6: Final answer
    x = 223,273.64

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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.