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Finding the Fourth Proportional to 294,163.36, 440,937.84 and 144,196

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Solution

The fourth proportional to 294,163.36, 440,937.84 and 144,196 is: 216,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,163.36 : 440,937.84 = 144,196 : x
  2. Step 2: Convert to fraction form
    294,163.36/440,937.84 = 144,196/x
  3. Step 3: Cross multiply
    294,163.36x = 440,937.84 × 144,196
  4. Step 4: Simplify right side
    294,163.36x = 63,581,472,776.64
  5. Step 5: Solve for x
    x = 63,581,472,776.64/294,163.36
  6. Step 6: Final answer
    x = 216,143.41

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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.