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Finding the Fourth Proportional to 292,531.75, 403,693.82 and 158,395.75

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Solution

The fourth proportional to 292,531.75, 403,693.82 and 158,395.75 is: 218,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,531.75 : 403,693.82 = 158,395.75 : x
  2. Step 2: Convert to fraction form
    292,531.75/403,693.82 = 158,395.75/x
  3. Step 3: Cross multiply
    292,531.75x = 403,693.82 × 158,395.75
  4. Step 4: Simplify right side
    292,531.75x = 63,943,385,389.27
  5. Step 5: Solve for x
    x = 63,943,385,389.27/292,531.75
  6. Step 6: Final answer
    x = 218,586.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.