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Finding the Fourth Proportional to 202,462.88, 279,398.79 and 117,585.41

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Solution

The fourth proportional to 202,462.88, 279,398.79 and 117,585.41 is: 162,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462.88 : 279,398.79 = 117,585.41 : x
  2. Step 2: Convert to fraction form
    202,462.88/279,398.79 = 117,585.41/x
  3. Step 3: Cross multiply
    202,462.88x = 279,398.79 × 117,585.41
  4. Step 4: Simplify right side
    202,462.88x = 32,853,219,878.66
  5. Step 5: Solve for x
    x = 32,853,219,878.66/202,462.88
  6. Step 6: Final answer
    x = 162,267.87

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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.