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Finding the Fourth Proportional to 253,287.41, 349,531.81 and 140,110.16

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Solution

The fourth proportional to 253,287.41, 349,531.81 and 140,110.16 is: 193,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,287.41 : 349,531.81 = 140,110.16 : x
  2. Step 2: Convert to fraction form
    253,287.41/349,531.81 = 140,110.16/x
  3. Step 3: Cross multiply
    253,287.41x = 349,531.81 × 140,110.16
  4. Step 4: Simplify right side
    253,287.41x = 48,972,955,726.26
  5. Step 5: Solve for x
    x = 48,972,955,726.26/253,287.41
  6. Step 6: Final answer
    x = 193,349.35

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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.