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Finding the Fourth Proportional to 231,422.67, 347,271.93 and 103,329

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Solution

The fourth proportional to 231,422.67, 347,271.93 and 103,329 is: 155,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,422.67 : 347,271.93 = 103,329 : x
  2. Step 2: Convert to fraction form
    231,422.67/347,271.93 = 103,329/x
  3. Step 3: Cross multiply
    231,422.67x = 347,271.93 × 103,329
  4. Step 4: Simplify right side
    231,422.67x = 35,883,261,254.97
  5. Step 5: Solve for x
    x = 35,883,261,254.97/231,422.67
  6. Step 6: Final answer
    x = 155,055.08

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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.