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Finding the Fourth Proportional to 154,842, 232,302 and 44,034

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Solution

The fourth proportional to 154,842, 232,302 and 44,034 is: 66,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842 : 232,302 = 44,034 : x
  2. Step 2: Convert to fraction form
    154,842/232,302 = 44,034/x
  3. Step 3: Cross multiply
    154,842x = 232,302 × 44,034
  4. Step 4: Simplify right side
    154,842x = 10,229,186,268
  5. Step 5: Solve for x
    x = 10,229,186,268/154,842
  6. Step 6: Final answer
    x = 66,062.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.