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Finding the Fourth Proportional to 216,107.82, 297,871.83 and 144,461.70

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Solution

The fourth proportional to 216,107.82, 297,871.83 and 144,461.70 is: 199,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,107.82 : 297,871.83 = 144,461.70 : x
  2. Step 2: Convert to fraction form
    216,107.82/297,871.83 = 144,461.70/x
  3. Step 3: Cross multiply
    216,107.82x = 297,871.83 × 144,461.70
  4. Step 4: Simplify right side
    216,107.82x = 43,031,070,943.91
  5. Step 5: Solve for x
    x = 43,031,070,943.91/216,107.82
  6. Step 6: Final answer
    x = 199,118.53

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1.5x scale

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.