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Finding the Fourth Proportional to 195,175.50, 269,342.37 and 105,751.50

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Solution

The fourth proportional to 195,175.50, 269,342.37 and 105,751.50 is: 145,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,175.50 : 269,342.37 = 105,751.50 : x
  2. Step 2: Convert to fraction form
    195,175.50/269,342.37 = 105,751.50/x
  3. Step 3: Cross multiply
    195,175.50x = 269,342.37 × 105,751.50
  4. Step 4: Simplify right side
    195,175.50x = 28,483,359,641.06
  5. Step 5: Solve for x
    x = 28,483,359,641.06/195,175.50
  6. Step 6: Final answer
    x = 145,937.17

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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.