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Finding the Fourth Proportional to 182,342, 251,641.80 and 106,914.80

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Solution

The fourth proportional to 182,342, 251,641.80 and 106,914.80 is: 147,548.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,342 : 251,641.80 = 106,914.80 : x
  2. Step 2: Convert to fraction form
    182,342/251,641.80 = 106,914.80/x
  3. Step 3: Cross multiply
    182,342x = 251,641.80 × 106,914.80
  4. Step 4: Simplify right side
    182,342x = 26,904,232,718.64
  5. Step 5: Solve for x
    x = 26,904,232,718.64/182,342
  6. Step 6: Final answer
    x = 147,548.19

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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.