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Finding the Fourth Proportional to 218,423.72, 301,309.14 and 150,322.46

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Solution

The fourth proportional to 218,423.72, 301,309.14 and 150,322.46 is: 207,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,423.72 : 301,309.14 = 150,322.46 : x
  2. Step 2: Convert to fraction form
    218,423.72/301,309.14 = 150,322.46/x
  3. Step 3: Cross multiply
    218,423.72x = 301,309.14 × 150,322.46
  4. Step 4: Simplify right side
    218,423.72x = 45,293,531,145.28
  5. Step 5: Solve for x
    x = 45,293,531,145.28/218,423.72
  6. Step 6: Final answer
    x = 207,365.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.