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Finding the Fourth Proportional to 283,749.93, 425,750.27 and 148,781.76

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Solution

The fourth proportional to 283,749.93, 425,750.27 and 148,781.76 is: 223,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,749.93 : 425,750.27 = 148,781.76 : x
  2. Step 2: Convert to fraction form
    283,749.93/425,750.27 = 148,781.76/x
  3. Step 3: Cross multiply
    283,749.93x = 425,750.27 × 148,781.76
  4. Step 4: Simplify right side
    283,749.93x = 63,343,873,747.17
  5. Step 5: Solve for x
    x = 63,343,873,747.17/283,749.93
  6. Step 6: Final answer
    x = 223,238.38

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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.