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Finding the Fourth Proportional to 238,697.28, 357,832.08 and 98,366.40

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Solution

The fourth proportional to 238,697.28, 357,832.08 and 98,366.40 is: 147,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,697.28 : 357,832.08 = 98,366.40 : x
  2. Step 2: Convert to fraction form
    238,697.28/357,832.08 = 98,366.40/x
  3. Step 3: Cross multiply
    238,697.28x = 357,832.08 × 98,366.40
  4. Step 4: Simplify right side
    238,697.28x = 35,198,653,514.11
  5. Step 5: Solve for x
    x = 35,198,653,514.11/238,697.28
  6. Step 6: Final answer
    x = 147,461.48

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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.