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Finding the Fourth Proportional to 159,082.52, 238,623.78 and 65,585.84

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Solution

The fourth proportional to 159,082.52, 238,623.78 and 65,585.84 is: 98,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.52 : 238,623.78 = 65,585.84 : x
  2. Step 2: Convert to fraction form
    159,082.52/238,623.78 = 65,585.84/x
  3. Step 3: Cross multiply
    159,082.52x = 238,623.78 × 65,585.84
  4. Step 4: Simplify right side
    159,082.52x = 15,650,341,055.28
  5. Step 5: Solve for x
    x = 15,650,341,055.28/159,082.52
  6. Step 6: Final answer
    x = 98,378.76

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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.