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Finding the Fourth Proportional to 221,031.65, 305,019.53 and 122,920.89

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Solution

The fourth proportional to 221,031.65, 305,019.53 and 122,920.89 is: 169,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,031.65 : 305,019.53 = 122,920.89 : x
  2. Step 2: Convert to fraction form
    221,031.65/305,019.53 = 122,920.89/x
  3. Step 3: Cross multiply
    221,031.65x = 305,019.53 × 122,920.89
  4. Step 4: Simplify right side
    221,031.65x = 37,493,271,480.38
  5. Step 5: Solve for x
    x = 37,493,271,480.38/221,031.65
  6. Step 6: Final answer
    x = 169,628.52

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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.