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Finding the Fourth Proportional to 154,134.32, 212,695.08 and 87,062

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Solution

The fourth proportional to 154,134.32, 212,695.08 and 87,062 is: 120,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,134.32 : 212,695.08 = 87,062 : x
  2. Step 2: Convert to fraction form
    154,134.32/212,695.08 = 87,062/x
  3. Step 3: Cross multiply
    154,134.32x = 212,695.08 × 87,062
  4. Step 4: Simplify right side
    154,134.32x = 18,517,659,054.96
  5. Step 5: Solve for x
    x = 18,517,659,054.96/154,134.32
  6. Step 6: Final answer
    x = 120,139.75

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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.