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Finding the Fourth Proportional to 98,141.72, 147,239.70 and 34,976.30

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Solution

The fourth proportional to 98,141.72, 147,239.70 and 34,976.30 is: 52,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,141.72 : 147,239.70 = 34,976.30 : x
  2. Step 2: Convert to fraction form
    98,141.72/147,239.70 = 34,976.30/x
  3. Step 3: Cross multiply
    98,141.72x = 147,239.70 × 34,976.30
  4. Step 4: Simplify right side
    98,141.72x = 5,149,899,919.11
  5. Step 5: Solve for x
    x = 5,149,899,919.11/98,141.72
  6. Step 6: Final answer
    x = 52,474.12

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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.