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Finding the Fourth Proportional to 216,107.94, 297,872 and 144,461.82

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Solution

The fourth proportional to 216,107.94, 297,872 and 144,461.82 is: 199,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,107.94 : 297,872 = 144,461.82 : x
  2. Step 2: Convert to fraction form
    216,107.94/297,872 = 144,461.82/x
  3. Step 3: Cross multiply
    216,107.94x = 297,872 × 144,461.82
  4. Step 4: Simplify right side
    216,107.94x = 43,031,131,247.04
  5. Step 5: Solve for x
    x = 43,031,131,247.04/216,107.94
  6. Step 6: Final answer
    x = 199,118.70

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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.