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Finding the Fourth Proportional to 283,020.70, 424,518.90 and 96,032.20

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Solution

The fourth proportional to 283,020.70, 424,518.90 and 96,032.20 is: 144,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,020.70 : 424,518.90 = 96,032.20 : x
  2. Step 2: Convert to fraction form
    283,020.70/424,518.90 = 96,032.20/x
  3. Step 3: Cross multiply
    283,020.70x = 424,518.90 × 96,032.20
  4. Step 4: Simplify right side
    283,020.70x = 40,767,483,908.58
  5. Step 5: Solve for x
    x = 40,767,483,908.58/283,020.70
  6. Step 6: Final answer
    x = 144,044.18

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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.