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Finding the Fourth Proportional to 195,152.48, 269,310.76 and 105,728.48

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Solution

The fourth proportional to 195,152.48, 269,310.76 and 105,728.48 is: 145,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,152.48 : 269,310.76 = 105,728.48 : x
  2. Step 2: Convert to fraction form
    195,152.48/269,310.76 = 105,728.48/x
  3. Step 3: Cross multiply
    195,152.48x = 269,310.76 × 105,728.48
  4. Step 4: Simplify right side
    195,152.48x = 28,473,817,302.44
  5. Step 5: Solve for x
    x = 28,473,817,302.44/195,152.48
  6. Step 6: Final answer
    x = 145,905.49

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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.