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Finding the Fourth Proportional to 291,556.19, 437,332.54 and 75,414.93

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Solution

The fourth proportional to 291,556.19, 437,332.54 and 75,414.93 is: 113,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,556.19 : 437,332.54 = 75,414.93 : x
  2. Step 2: Convert to fraction form
    291,556.19/437,332.54 = 75,414.93/x
  3. Step 3: Cross multiply
    291,556.19x = 437,332.54 × 75,414.93
  4. Step 4: Simplify right side
    291,556.19x = 32,981,402,890.82
  5. Step 5: Solve for x
    x = 32,981,402,890.82/291,556.19
  6. Step 6: Final answer
    x = 113,121.94

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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.