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Finding the Fourth Proportional to 233,615.90, 350,453.03 and 91,442.82

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Solution

The fourth proportional to 233,615.90, 350,453.03 and 91,442.82 is: 137,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,615.90 : 350,453.03 = 91,442.82 : x
  2. Step 2: Convert to fraction form
    233,615.90/350,453.03 = 91,442.82/x
  3. Step 3: Cross multiply
    233,615.90x = 350,453.03 × 91,442.82
  4. Step 4: Simplify right side
    233,615.90x = 32,046,413,569.35
  5. Step 5: Solve for x
    x = 32,046,413,569.35/233,615.90
  6. Step 6: Final answer
    x = 137,175.66

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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.