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Finding the Fourth Proportional to 202,354.48, 279,269.06 and 117,466.48

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Solution

The fourth proportional to 202,354.48, 279,269.06 and 117,466.48 is: 162,115.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,354.48 : 279,269.06 = 117,466.48 : x
  2. Step 2: Convert to fraction form
    202,354.48/279,269.06 = 117,466.48/x
  3. Step 3: Cross multiply
    202,354.48x = 279,269.06 × 117,466.48
  4. Step 4: Simplify right side
    202,354.48x = 32,804,753,451.11
  5. Step 5: Solve for x
    x = 32,804,753,451.11/202,354.48
  6. Step 6: Final answer
    x = 162,115.28

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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.