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Finding the Fourth Proportional to 231,703.70, 347,296.35 and 98,561.30

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Solution

The fourth proportional to 231,703.70, 347,296.35 and 98,561.30 is: 147,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703.70 : 347,296.35 = 98,561.30 : x
  2. Step 2: Convert to fraction form
    231,703.70/347,296.35 = 98,561.30/x
  3. Step 3: Cross multiply
    231,703.70x = 347,296.35 × 98,561.30
  4. Step 4: Simplify right side
    231,703.70x = 34,229,979,741.26
  5. Step 5: Solve for x
    x = 34,229,979,741.26/231,703.70
  6. Step 6: Final answer
    x = 147,731.69

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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.