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Finding the Fourth Proportional to 233,731.26, 350,655.78 and 65,251.38

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Solution

The fourth proportional to 233,731.26, 350,655.78 and 65,251.38 is: 97,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,731.26 : 350,655.78 = 65,251.38 : x
  2. Step 2: Convert to fraction form
    233,731.26/350,655.78 = 65,251.38/x
  3. Step 3: Cross multiply
    233,731.26x = 350,655.78 × 65,251.38
  4. Step 4: Simplify right side
    233,731.26x = 22,880,773,549.98
  5. Step 5: Solve for x
    x = 22,880,773,549.98/233,731.26
  6. Step 6: Final answer
    x = 97,893.51

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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.