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Finding the Fourth Proportional to 154,223.56, 231,354.38 and 75,278.13

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Solution

The fourth proportional to 154,223.56, 231,354.38 and 75,278.13 is: 112,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,223.56 : 231,354.38 = 75,278.13 : x
  2. Step 2: Convert to fraction form
    154,223.56/231,354.38 = 75,278.13/x
  3. Step 3: Cross multiply
    154,223.56x = 231,354.38 × 75,278.13
  4. Step 4: Simplify right side
    154,223.56x = 17,415,925,093.71
  5. Step 5: Solve for x
    x = 17,415,925,093.71/154,223.56
  6. Step 6: Final answer
    x = 112,926.49

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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.