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Finding the Fourth Proportional to 114,665.16, 171,159.03 and 106,222.44

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Solution

The fourth proportional to 114,665.16, 171,159.03 and 106,222.44 is: 158,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,665.16 : 171,159.03 = 106,222.44 : x
  2. Step 2: Convert to fraction form
    114,665.16/171,159.03 = 106,222.44/x
  3. Step 3: Cross multiply
    114,665.16x = 171,159.03 × 106,222.44
  4. Step 4: Simplify right side
    114,665.16x = 18,180,929,794.63
  5. Step 5: Solve for x
    x = 18,180,929,794.63/114,665.16
  6. Step 6: Final answer
    x = 158,556.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.