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Finding the Fourth Proportional to 268,188.16, 370,272.80 and 166,321.92

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Solution

The fourth proportional to 268,188.16, 370,272.80 and 166,321.92 is: 229,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,188.16 : 370,272.80 = 166,321.92 : x
  2. Step 2: Convert to fraction form
    268,188.16/370,272.80 = 166,321.92/x
  3. Step 3: Cross multiply
    268,188.16x = 370,272.80 × 166,321.92
  4. Step 4: Simplify right side
    268,188.16x = 61,584,483,019.78
  5. Step 5: Solve for x
    x = 61,584,483,019.78/268,188.16
  6. Step 6: Final answer
    x = 229,631.63

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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.