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Finding the Fourth Proportional to 283,342.44, 425,275.86 and 143,199.48

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Solution

The fourth proportional to 283,342.44, 425,275.86 and 143,199.48 is: 214,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,342.44 : 425,275.86 = 143,199.48 : x
  2. Step 2: Convert to fraction form
    283,342.44/425,275.86 = 143,199.48/x
  3. Step 3: Cross multiply
    283,342.44x = 425,275.86 × 143,199.48
  4. Step 4: Simplify right side
    283,342.44x = 60,899,282,008.55
  5. Step 5: Solve for x
    x = 60,899,282,008.55/283,342.44
  6. Step 6: Final answer
    x = 214,931.73

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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.