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Finding the Fourth Proportional to 150,306.96, 225,102.56 and 86,993.76

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Solution

The fourth proportional to 150,306.96, 225,102.56 and 86,993.76 is: 130,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,306.96 : 225,102.56 = 86,993.76 : x
  2. Step 2: Convert to fraction form
    150,306.96/225,102.56 = 86,993.76/x
  3. Step 3: Cross multiply
    150,306.96x = 225,102.56 × 86,993.76
  4. Step 4: Simplify right side
    150,306.96x = 19,582,518,080.03
  5. Step 5: Solve for x
    x = 19,582,518,080.03/150,306.96
  6. Step 6: Final answer
    x = 130,283.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.