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Finding the Fourth Proportional to 202,548.96, 279,517.59 and 117,671.49

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Solution

The fourth proportional to 202,548.96, 279,517.59 and 117,671.49 is: 162,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,548.96 : 279,517.59 = 117,671.49 : x
  2. Step 2: Convert to fraction form
    202,548.96/279,517.59 = 117,671.49/x
  3. Step 3: Cross multiply
    202,548.96x = 279,517.59 × 117,671.49
  4. Step 4: Simplify right side
    202,548.96x = 32,891,251,296.51
  5. Step 5: Solve for x
    x = 32,891,251,296.51/202,548.96
  6. Step 6: Final answer
    x = 162,386.67

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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.