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Finding the Fourth Proportional to 231,853.20, 347,650.20 and 98,710.80

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Solution

The fourth proportional to 231,853.20, 347,650.20 and 98,710.80 is: 148,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,853.20 : 347,650.20 = 98,710.80 : x
  2. Step 2: Convert to fraction form
    231,853.20/347,650.20 = 98,710.80/x
  3. Step 3: Cross multiply
    231,853.20x = 347,650.20 × 98,710.80
  4. Step 4: Simplify right side
    231,853.20x = 34,316,829,362.16
  5. Step 5: Solve for x
    x = 34,316,829,362.16/231,853.20
  6. Step 6: Final answer
    x = 148,011.02

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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.