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Finding the Fourth Proportional to 154,049.30, 212,474.31 and 97,406

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Solution

The fourth proportional to 154,049.30, 212,474.31 and 97,406 is: 134,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,049.30 : 212,474.31 = 97,406 : x
  2. Step 2: Convert to fraction form
    154,049.30/212,474.31 = 97,406/x
  3. Step 3: Cross multiply
    154,049.30x = 212,474.31 × 97,406
  4. Step 4: Simplify right side
    154,049.30x = 20,696,272,639.86
  5. Step 5: Solve for x
    x = 20,696,272,639.86/154,049.30
  6. Step 6: Final answer
    x = 134,348.37

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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.