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Finding the Fourth Proportional to 221,903.50, 306,231.70 and 121,301.50

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Solution

The fourth proportional to 221,903.50, 306,231.70 and 121,301.50 is: 167,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,903.50 : 306,231.70 = 121,301.50 : x
  2. Step 2: Convert to fraction form
    221,903.50/306,231.70 = 121,301.50/x
  3. Step 3: Cross multiply
    221,903.50x = 306,231.70 × 121,301.50
  4. Step 4: Simplify right side
    221,903.50x = 37,146,364,557.55
  5. Step 5: Solve for x
    x = 37,146,364,557.55/221,903.50
  6. Step 6: Final answer
    x = 167,398.73

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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.