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Finding the Fourth Proportional to 202,414.67, 279,356.88 and 117,531.74

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Solution

The fourth proportional to 202,414.67, 279,356.88 and 117,531.74 is: 162,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,414.67 : 279,356.88 = 117,531.74 : x
  2. Step 2: Convert to fraction form
    202,414.67/279,356.88 = 117,531.74/x
  3. Step 3: Cross multiply
    202,414.67x = 279,356.88 × 117,531.74
  4. Step 4: Simplify right side
    202,414.67x = 32,833,300,187.37
  5. Step 5: Solve for x
    x = 32,833,300,187.37/202,414.67
  6. Step 6: Final answer
    x = 162,208.11

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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.