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Finding the Fourth Proportional to 269,709.39, 404,438.94 and 157,421.93

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Solution

The fourth proportional to 269,709.39, 404,438.94 and 157,421.93 is: 236,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,709.39 : 404,438.94 = 157,421.93 : x
  2. Step 2: Convert to fraction form
    269,709.39/404,438.94 = 157,421.93/x
  3. Step 3: Cross multiply
    269,709.39x = 404,438.94 × 157,421.93
  4. Step 4: Simplify right side
    269,709.39x = 63,667,556,479.76
  5. Step 5: Solve for x
    x = 63,667,556,479.76/269,709.39
  6. Step 6: Final answer
    x = 236,059.84

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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.