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Finding the Fourth Proportional to 216,114.82, 323,950.52 and 82,959.22

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Solution

The fourth proportional to 216,114.82, 323,950.52 and 82,959.22 is: 124,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,114.82 : 323,950.52 = 82,959.22 : x
  2. Step 2: Convert to fraction form
    216,114.82/323,950.52 = 82,959.22/x
  3. Step 3: Cross multiply
    216,114.82x = 323,950.52 × 82,959.22
  4. Step 4: Simplify right side
    216,114.82x = 26,874,682,457.79
  5. Step 5: Solve for x
    x = 26,874,682,457.79/216,114.82
  6. Step 6: Final answer
    x = 124,353.72

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1.5x scale

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.