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Finding the Fourth Proportional to 268,151.80, 370,069.32 and 166,197.28

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Solution

The fourth proportional to 268,151.80, 370,069.32 and 166,197.28 is: 229,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,151.80 : 370,069.32 = 166,197.28 : x
  2. Step 2: Convert to fraction form
    268,151.80/370,069.32 = 166,197.28/x
  3. Step 3: Cross multiply
    268,151.80x = 370,069.32 × 166,197.28
  4. Step 4: Simplify right side
    268,151.80x = 61,504,514,395.45
  5. Step 5: Solve for x
    x = 61,504,514,395.45/268,151.80
  6. Step 6: Final answer
    x = 229,364.54

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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.