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Finding the Fourth Proportional to 217,222.38, 299,763.96 and 121,730.94

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Solution

The fourth proportional to 217,222.38, 299,763.96 and 121,730.94 is: 167,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,222.38 : 299,763.96 = 121,730.94 : x
  2. Step 2: Convert to fraction form
    217,222.38/299,763.96 = 121,730.94/x
  3. Step 3: Cross multiply
    217,222.38x = 299,763.96 × 121,730.94
  4. Step 4: Simplify right side
    217,222.38x = 36,490,548,628.92
  5. Step 5: Solve for x
    x = 36,490,548,628.92/217,222.38
  6. Step 6: Final answer
    x = 167,987.06

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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.