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Finding the Fourth Proportional to 273,712.32, 410,017.91 and 136,521.81

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Solution

The fourth proportional to 273,712.32, 410,017.91 and 136,521.81 is: 204,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,712.32 : 410,017.91 = 136,521.81 : x
  2. Step 2: Convert to fraction form
    273,712.32/410,017.91 = 136,521.81/x
  3. Step 3: Cross multiply
    273,712.32x = 410,017.91 × 136,521.81
  4. Step 4: Simplify right side
    273,712.32x = 55,976,386,523.01
  5. Step 5: Solve for x
    x = 55,976,386,523.01/273,712.32
  6. Step 6: Final answer
    x = 204,508.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.