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Finding the Fourth Proportional to 164,422.24, 246,719.76 and 89,596

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Solution

The fourth proportional to 164,422.24, 246,719.76 and 89,596 is: 134,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,422.24 : 246,719.76 = 89,596 : x
  2. Step 2: Convert to fraction form
    164,422.24/246,719.76 = 89,596/x
  3. Step 3: Cross multiply
    164,422.24x = 246,719.76 × 89,596
  4. Step 4: Simplify right side
    164,422.24x = 22,105,103,616.96
  5. Step 5: Solve for x
    x = 22,105,103,616.96/164,422.24
  6. Step 6: Final answer
    x = 134,441.08

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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.