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Finding the Fourth Proportional to 195,767.84, 293,558.76 and 75,880.88

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Solution

The fourth proportional to 195,767.84, 293,558.76 and 75,880.88 is: 113,785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,767.84 : 293,558.76 = 75,880.88 : x
  2. Step 2: Convert to fraction form
    195,767.84/293,558.76 = 75,880.88/x
  3. Step 3: Cross multiply
    195,767.84x = 293,558.76 × 75,880.88
  4. Step 4: Simplify right side
    195,767.84x = 22,275,497,040.51
  5. Step 5: Solve for x
    x = 22,275,497,040.51/195,767.84
  6. Step 6: Final answer
    x = 113,785.27

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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.