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Finding the Fourth Proportional to 283,022.70, 424,521.90 and 96,034.20

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Solution

The fourth proportional to 283,022.70, 424,521.90 and 96,034.20 is: 144,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,022.70 : 424,521.90 = 96,034.20 : x
  2. Step 2: Convert to fraction form
    283,022.70/424,521.90 = 96,034.20/x
  3. Step 3: Cross multiply
    283,022.70x = 424,521.90 × 96,034.20
  4. Step 4: Simplify right side
    283,022.70x = 40,768,621,048.98
  5. Step 5: Solve for x
    x = 40,768,621,048.98/283,022.70
  6. Step 6: Final answer
    x = 144,047.18

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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.