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Finding the Fourth Proportional to 231,422.30, 347,065.41 and 98,301.50

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Solution

The fourth proportional to 231,422.30, 347,065.41 and 98,301.50 is: 147,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,422.30 : 347,065.41 = 98,301.50 : x
  2. Step 2: Convert to fraction form
    231,422.30/347,065.41 = 98,301.50/x
  3. Step 3: Cross multiply
    231,422.30x = 347,065.41 × 98,301.50
  4. Step 4: Simplify right side
    231,422.30x = 34,117,050,401.12
  5. Step 5: Solve for x
    x = 34,117,050,401.12/231,422.30
  6. Step 6: Final answer
    x = 147,423.35

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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.