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Finding the Fourth Proportional to 195,953.25, 270,417.66 and 106,529.25

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Solution

The fourth proportional to 195,953.25, 270,417.66 and 106,529.25 is: 147,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,953.25 : 270,417.66 = 106,529.25 : x
  2. Step 2: Convert to fraction form
    195,953.25/270,417.66 = 106,529.25/x
  3. Step 3: Cross multiply
    195,953.25x = 270,417.66 × 106,529.25
  4. Step 4: Simplify right side
    195,953.25x = 28,807,390,506.56
  5. Step 5: Solve for x
    x = 28,807,390,506.56/195,953.25
  6. Step 6: Final answer
    x = 147,011.55

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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.