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Finding the Fourth Proportional to 195,523.50, 293,396.19 and 105,565.01

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Solution

The fourth proportional to 195,523.50, 293,396.19 and 105,565.01 is: 158,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,523.50 : 293,396.19 = 105,565.01 : x
  2. Step 2: Convert to fraction form
    195,523.50/293,396.19 = 105,565.01/x
  3. Step 3: Cross multiply
    195,523.50x = 293,396.19 × 105,565.01
  4. Step 4: Simplify right side
    195,523.50x = 30,972,371,731.31
  5. Step 5: Solve for x
    x = 30,972,371,731.31/195,523.50
  6. Step 6: Final answer
    x = 158,407.41

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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.