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Finding the Fourth Proportional to 195,071.88, 269,199.19 and 105,647.88

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Solution

The fourth proportional to 195,071.88, 269,199.19 and 105,647.88 is: 145,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,071.88 : 269,199.19 = 105,647.88 : x
  2. Step 2: Convert to fraction form
    195,071.88/269,199.19 = 105,647.88/x
  3. Step 3: Cross multiply
    195,071.88x = 269,199.19 × 105,647.88
  4. Step 4: Simplify right side
    195,071.88x = 28,440,323,721.22
  5. Step 5: Solve for x
    x = 28,440,323,721.22/195,071.88
  6. Step 6: Final answer
    x = 145,794.07

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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.