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Finding the Fourth Proportional to 231,833.54, 347,881.84 and 98,699.92

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Solution

The fourth proportional to 231,833.54, 347,881.84 and 98,699.92 is: 148,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,833.54 : 347,881.84 = 98,699.92 : x
  2. Step 2: Convert to fraction form
    231,833.54/347,881.84 = 98,699.92/x
  3. Step 3: Cross multiply
    231,833.54x = 347,881.84 × 98,699.92
  4. Step 4: Simplify right side
    231,833.54x = 34,335,908,661.00
  5. Step 5: Solve for x
    x = 34,335,908,661.00/231,833.54
  6. Step 6: Final answer
    x = 148,105.87

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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.