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Finding the Fourth Proportional to 310,058.31, 465,136.20 and 132,566.25

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Solution

The fourth proportional to 310,058.31, 465,136.20 and 132,566.25 is: 198,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,058.31 : 465,136.20 = 132,566.25 : x
  2. Step 2: Convert to fraction form
    310,058.31/465,136.20 = 132,566.25/x
  3. Step 3: Cross multiply
    310,058.31x = 465,136.20 × 132,566.25
  4. Step 4: Simplify right side
    310,058.31x = 61,661,361,773.25
  5. Step 5: Solve for x
    x = 61,661,361,773.25/310,058.31
  6. Step 6: Final answer
    x = 198,870.21

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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.