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Finding the Fourth Proportional to 159,955.38, 239,932.38 and 65,164.42

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Solution

The fourth proportional to 159,955.38, 239,932.38 and 65,164.42 is: 97,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,955.38 : 239,932.38 = 65,164.42 : x
  2. Step 2: Convert to fraction form
    159,955.38/239,932.38 = 65,164.42/x
  3. Step 3: Cross multiply
    159,955.38x = 239,932.38 × 65,164.42
  4. Step 4: Simplify right side
    159,955.38x = 15,635,054,381.92
  5. Step 5: Solve for x
    x = 15,635,054,381.92/159,955.38
  6. Step 6: Final answer
    x = 97,746.35

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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.