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Finding the Fourth Proportional to 143,765.24, 198,384.54 and 87,207.80

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Solution

The fourth proportional to 143,765.24, 198,384.54 and 87,207.80 is: 120,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,765.24 : 198,384.54 = 87,207.80 : x
  2. Step 2: Convert to fraction form
    143,765.24/198,384.54 = 87,207.80/x
  3. Step 3: Cross multiply
    143,765.24x = 198,384.54 × 87,207.80
  4. Step 4: Simplify right side
    143,765.24x = 17,300,679,287.41
  5. Step 5: Solve for x
    x = 17,300,679,287.41/143,765.24
  6. Step 6: Final answer
    x = 120,339.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.