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Finding the Fourth Proportional to 159,049.78, 238,574.74 and 74,748.08

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Solution

The fourth proportional to 159,049.78, 238,574.74 and 74,748.08 is: 112,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,049.78 : 238,574.74 = 74,748.08 : x
  2. Step 2: Convert to fraction form
    159,049.78/238,574.74 = 74,748.08/x
  3. Step 3: Cross multiply
    159,049.78x = 238,574.74 × 74,748.08
  4. Step 4: Simplify right side
    159,049.78x = 17,833,003,751.50
  5. Step 5: Solve for x
    x = 17,833,003,751.50/159,049.78
  6. Step 6: Final answer
    x = 112,122.15

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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.