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Finding the Fourth Proportional to 195,574.92, 269,891.22 and 109,534.68

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Solution

The fourth proportional to 195,574.92, 269,891.22 and 109,534.68 is: 151,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,574.92 : 269,891.22 = 109,534.68 : x
  2. Step 2: Convert to fraction form
    195,574.92/269,891.22 = 109,534.68/x
  3. Step 3: Cross multiply
    195,574.92x = 269,891.22 × 109,534.68
  4. Step 4: Simplify right side
    195,574.92x = 29,562,448,417.51
  5. Step 5: Solve for x
    x = 29,562,448,417.51/195,574.92
  6. Step 6: Final answer
    x = 151,156.64

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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.