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Finding the Fourth Proportional to 195,707.84, 270,069.60 and 106,281.92

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Solution

The fourth proportional to 195,707.84, 270,069.60 and 106,281.92 is: 146,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,707.84 : 270,069.60 = 106,281.92 : x
  2. Step 2: Convert to fraction form
    195,707.84/270,069.60 = 106,281.92/x
  3. Step 3: Cross multiply
    195,707.84x = 270,069.60 × 106,281.92
  4. Step 4: Simplify right side
    195,707.84x = 28,703,515,621.63
  5. Step 5: Solve for x
    x = 28,703,515,621.63/195,707.84
  6. Step 6: Final answer
    x = 146,665.13

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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.