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Finding the Fourth Proportional to 195,574.84, 269,870.94 and 109,521.86

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Solution

The fourth proportional to 195,574.84, 269,870.94 and 109,521.86 is: 151,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,574.84 : 269,870.94 = 109,521.86 : x
  2. Step 2: Convert to fraction form
    195,574.84/269,870.94 = 109,521.86/x
  3. Step 3: Cross multiply
    195,574.84x = 269,870.94 × 109,521.86
  4. Step 4: Simplify right side
    195,574.84x = 29,556,765,959.39
  5. Step 5: Solve for x
    x = 29,556,765,959.39/195,574.84
  6. Step 6: Final answer
    x = 151,127.65

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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.