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Finding the Fourth Proportional to 211,797.65, 317,707.57 and 161,275.92

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Solution

The fourth proportional to 211,797.65, 317,707.57 and 161,275.92 is: 241,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,797.65 : 317,707.57 = 161,275.92 : x
  2. Step 2: Convert to fraction form
    211,797.65/317,707.57 = 161,275.92/x
  3. Step 3: Cross multiply
    211,797.65x = 317,707.57 × 161,275.92
  4. Step 4: Simplify right side
    211,797.65x = 51,238,579,335.58
  5. Step 5: Solve for x
    x = 51,238,579,335.58/211,797.65
  6. Step 6: Final answer
    x = 241,922.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.