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Finding the Fourth Proportional to 223,406.06, 335,133.52 and 96,959.38

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Solution

The fourth proportional to 223,406.06, 335,133.52 and 96,959.38 is: 145,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,406.06 : 335,133.52 = 96,959.38 : x
  2. Step 2: Convert to fraction form
    223,406.06/335,133.52 = 96,959.38/x
  3. Step 3: Cross multiply
    223,406.06x = 335,133.52 × 96,959.38
  4. Step 4: Simplify right side
    223,406.06x = 32,494,338,316.42
  5. Step 5: Solve for x
    x = 32,494,338,316.42/223,406.06
  6. Step 6: Final answer
    x = 145,449.67

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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.