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Finding the Fourth Proportional to 195,542, 269,851.20 and 106,118

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Solution

The fourth proportional to 195,542, 269,851.20 and 106,118 is: 146,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,542 : 269,851.20 = 106,118 : x
  2. Step 2: Convert to fraction form
    195,542/269,851.20 = 106,118/x
  3. Step 3: Cross multiply
    195,542x = 269,851.20 × 106,118
  4. Step 4: Simplify right side
    195,542x = 28,636,069,641.60
  5. Step 5: Solve for x
    x = 28,636,069,641.60/195,542
  6. Step 6: Final answer
    x = 146,444.60

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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.