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Finding the Fourth Proportional to 199,740.84, 299,250.24 and 124,825

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Solution

The fourth proportional to 199,740.84, 299,250.24 and 124,825 is: 187,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,740.84 : 299,250.24 = 124,825 : x
  2. Step 2: Convert to fraction form
    199,740.84/299,250.24 = 124,825/x
  3. Step 3: Cross multiply
    199,740.84x = 299,250.24 × 124,825
  4. Step 4: Simplify right side
    199,740.84x = 37,353,911,208
  5. Step 5: Solve for x
    x = 37,353,911,208/199,740.84
  6. Step 6: Final answer
    x = 187,011.89

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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.