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Finding the Fourth Proportional to 283,207.60, 424,830.60 and 96,233.20

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Solution

The fourth proportional to 283,207.60, 424,830.60 and 96,233.20 is: 144,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,207.60 : 424,830.60 = 96,233.20 : x
  2. Step 2: Convert to fraction form
    283,207.60/424,830.60 = 96,233.20/x
  3. Step 3: Cross multiply
    283,207.60x = 424,830.60 × 96,233.20
  4. Step 4: Simplify right side
    283,207.60x = 40,882,808,095.92
  5. Step 5: Solve for x
    x = 40,882,808,095.92/283,207.60
  6. Step 6: Final answer
    x = 144,356.32

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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.