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Finding the Fourth Proportional to 195,494.88, 293,267.70 and 55,256.88

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Solution

The fourth proportional to 195,494.88, 293,267.70 and 55,256.88 is: 82,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,494.88 : 293,267.70 = 55,256.88 : x
  2. Step 2: Convert to fraction form
    195,494.88/293,267.70 = 55,256.88/x
  3. Step 3: Cross multiply
    195,494.88x = 293,267.70 × 55,256.88
  4. Step 4: Simplify right side
    195,494.88x = 16,205,058,106.78
  5. Step 5: Solve for x
    x = 16,205,058,106.78/195,494.88
  6. Step 6: Final answer
    x = 82,892.49

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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.