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Finding the Fourth Proportional to 261,114.26, 391,629.34 and 71,530.32

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Solution

The fourth proportional to 261,114.26, 391,629.34 and 71,530.32 is: 107,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,114.26 : 391,629.34 = 71,530.32 : x
  2. Step 2: Convert to fraction form
    261,114.26/391,629.34 = 71,530.32/x
  3. Step 3: Cross multiply
    261,114.26x = 391,629.34 × 71,530.32
  4. Step 4: Simplify right side
    261,114.26x = 28,013,372,011.59
  5. Step 5: Solve for x
    x = 28,013,372,011.59/261,114.26
  6. Step 6: Final answer
    x = 107,283.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.