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Finding the Fourth Proportional to 195,886.84, 270,320.32 and 111,002.08

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Solution

The fourth proportional to 195,886.84, 270,320.32 and 111,002.08 is: 153,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,886.84 : 270,320.32 = 111,002.08 : x
  2. Step 2: Convert to fraction form
    195,886.84/270,320.32 = 111,002.08/x
  3. Step 3: Cross multiply
    195,886.84x = 270,320.32 × 111,002.08
  4. Step 4: Simplify right side
    195,886.84x = 30,006,117,786.27
  5. Step 5: Solve for x
    x = 30,006,117,786.27/195,886.84
  6. Step 6: Final answer
    x = 153,180.88

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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.