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Finding the Fourth Proportional to 238,882.32, 358,375.32 and 72,666

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Solution

The fourth proportional to 238,882.32, 358,375.32 and 72,666 is: 109,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,882.32 : 358,375.32 = 72,666 : x
  2. Step 2: Convert to fraction form
    238,882.32/358,375.32 = 72,666/x
  3. Step 3: Cross multiply
    238,882.32x = 358,375.32 × 72,666
  4. Step 4: Simplify right side
    238,882.32x = 26,041,701,003.12
  5. Step 5: Solve for x
    x = 26,041,701,003.12/238,882.32
  6. Step 6: Final answer
    x = 109,014.77

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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.