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Finding the Fourth Proportional to 283,334.70, 425,002.05 and 96,346.20

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Solution

The fourth proportional to 283,334.70, 425,002.05 and 96,346.20 is: 144,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,334.70 : 425,002.05 = 96,346.20 : x
  2. Step 2: Convert to fraction form
    283,334.70/425,002.05 = 96,346.20/x
  3. Step 3: Cross multiply
    283,334.70x = 425,002.05 × 96,346.20
  4. Step 4: Simplify right side
    283,334.70x = 40,947,332,509.71
  5. Step 5: Solve for x
    x = 40,947,332,509.71/283,334.70
  6. Step 6: Final answer
    x = 144,519.30

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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.