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Finding the Fourth Proportional to 114,556.70, 171,835.05 and 99,794.45

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Solution

The fourth proportional to 114,556.70, 171,835.05 and 99,794.45 is: 149,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,556.70 : 171,835.05 = 99,794.45 : x
  2. Step 2: Convert to fraction form
    114,556.70/171,835.05 = 99,794.45/x
  3. Step 3: Cross multiply
    114,556.70x = 171,835.05 × 99,794.45
  4. Step 4: Simplify right side
    114,556.70x = 17,148,184,305.47
  5. Step 5: Solve for x
    x = 17,148,184,305.47/114,556.70
  6. Step 6: Final answer
    x = 149,691.68

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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.