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Finding the Fourth Proportional to 157,433.45, 217,254.92 and 85,812.84

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Solution

The fourth proportional to 157,433.45, 217,254.92 and 85,812.84 is: 118,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,433.45 : 217,254.92 = 85,812.84 : x
  2. Step 2: Convert to fraction form
    157,433.45/217,254.92 = 85,812.84/x
  3. Step 3: Cross multiply
    157,433.45x = 217,254.92 × 85,812.84
  4. Step 4: Simplify right side
    157,433.45x = 18,643,261,260.11
  5. Step 5: Solve for x
    x = 18,643,261,260.11/157,433.45
  6. Step 6: Final answer
    x = 118,419.95

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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.