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Finding the Fourth Proportional to 283,122.72, 424,749.84 and 96,134.28

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Solution

The fourth proportional to 283,122.72, 424,749.84 and 96,134.28 is: 144,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,122.72 : 424,749.84 = 96,134.28 : x
  2. Step 2: Convert to fraction form
    283,122.72/424,749.84 = 96,134.28/x
  3. Step 3: Cross multiply
    283,122.72x = 424,749.84 × 96,134.28
  4. Step 4: Simplify right side
    283,122.72x = 40,833,020,048.52
  5. Step 5: Solve for x
    x = 40,833,020,048.52/283,122.72
  6. Step 6: Final answer
    x = 144,223.75

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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.