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Finding the Fourth Proportional to 193,458.33, 289,538.96 and 141,888.87

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Solution

The fourth proportional to 193,458.33, 289,538.96 and 141,888.87 is: 212,357.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,458.33 : 289,538.96 = 141,888.87 : x
  2. Step 2: Convert to fraction form
    193,458.33/289,538.96 = 141,888.87/x
  3. Step 3: Cross multiply
    193,458.33x = 289,538.96 × 141,888.87
  4. Step 4: Simplify right side
    193,458.33x = 41,082,355,145.93
  5. Step 5: Solve for x
    x = 41,082,355,145.93/193,458.33
  6. Step 6: Final answer
    x = 212,357.64

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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.