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Finding the Fourth Proportional to 231,757.84, 347,538.84 and 98,632.72

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Solution

The fourth proportional to 231,757.84, 347,538.84 and 98,632.72 is: 147,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,757.84 : 347,538.84 = 98,632.72 : x
  2. Step 2: Convert to fraction form
    231,757.84/347,538.84 = 98,632.72/x
  3. Step 3: Cross multiply
    231,757.84x = 347,538.84 × 98,632.72
  4. Step 4: Simplify right side
    231,757.84x = 34,278,701,094.84
  5. Step 5: Solve for x
    x = 34,278,701,094.84/231,757.84
  6. Step 6: Final answer
    x = 147,907.41

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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.