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Finding the Fourth Proportional to 195,853.80, 293,723.10 and 77,485.80

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Solution

The fourth proportional to 195,853.80, 293,723.10 and 77,485.80 is: 116,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,853.80 : 293,723.10 = 77,485.80 : x
  2. Step 2: Convert to fraction form
    195,853.80/293,723.10 = 77,485.80/x
  3. Step 3: Cross multiply
    195,853.80x = 293,723.10 × 77,485.80
  4. Step 4: Simplify right side
    195,853.80x = 22,759,369,381.98
  5. Step 5: Solve for x
    x = 22,759,369,381.98/195,853.80
  6. Step 6: Final answer
    x = 116,205.91

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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.