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Finding the Fourth Proportional to 201,886.24, 278,612.40 and 117,029.92

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Solution

The fourth proportional to 201,886.24, 278,612.40 and 117,029.92 is: 161,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.24 : 278,612.40 = 117,029.92 : x
  2. Step 2: Convert to fraction form
    201,886.24/278,612.40 = 117,029.92/x
  3. Step 3: Cross multiply
    201,886.24x = 278,612.40 × 117,029.92
  4. Step 4: Simplify right side
    201,886.24x = 32,605,986,883.01
  5. Step 5: Solve for x
    x = 32,605,986,883.01/201,886.24
  6. Step 6: Final answer
    x = 161,506.73

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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.