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Finding the Fourth Proportional to 255,012.46, 351,719.49 and 164,383.18

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Solution

The fourth proportional to 255,012.46, 351,719.49 and 164,383.18 is: 226,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,012.46 : 351,719.49 = 164,383.18 : x
  2. Step 2: Convert to fraction form
    255,012.46/351,719.49 = 164,383.18/x
  3. Step 3: Cross multiply
    255,012.46x = 351,719.49 × 164,383.18
  4. Step 4: Simplify right side
    255,012.46x = 57,816,768,234.18
  5. Step 5: Solve for x
    x = 57,816,768,234.18/255,012.46
  6. Step 6: Final answer
    x = 226,721.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.