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Finding the Fourth Proportional to 154,422, 212,956.56 and 100,748.16

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Solution

The fourth proportional to 154,422, 212,956.56 and 100,748.16 is: 138,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,422 : 212,956.56 = 100,748.16 : x
  2. Step 2: Convert to fraction form
    154,422/212,956.56 = 100,748.16/x
  3. Step 3: Cross multiply
    154,422x = 212,956.56 × 100,748.16
  4. Step 4: Simplify right side
    154,422x = 21,454,981,579.93
  5. Step 5: Solve for x
    x = 21,454,981,579.93/154,422
  6. Step 6: Final answer
    x = 138,937.34

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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.