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Finding the Fourth Proportional to 195,730.52, 270,109.50 and 106,306.52

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Solution

The fourth proportional to 195,730.52, 270,109.50 and 106,306.52 is: 146,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,730.52 : 270,109.50 = 106,306.52 : x
  2. Step 2: Convert to fraction form
    195,730.52/270,109.50 = 106,306.52/x
  3. Step 3: Cross multiply
    195,730.52x = 270,109.50 × 106,306.52
  4. Step 4: Simplify right side
    195,730.52x = 28,714,400,963.94
  5. Step 5: Solve for x
    x = 28,714,400,963.94/195,730.52
  6. Step 6: Final answer
    x = 146,703.75

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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.