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Finding the Fourth Proportional to 268,253.76, 370,222.38 and 160,882.86

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Solution

The fourth proportional to 268,253.76, 370,222.38 and 160,882.86 is: 222,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,253.76 : 370,222.38 = 160,882.86 : x
  2. Step 2: Convert to fraction form
    268,253.76/370,222.38 = 160,882.86/x
  3. Step 3: Cross multiply
    268,253.76x = 370,222.38 × 160,882.86
  4. Step 4: Simplify right side
    268,253.76x = 59,562,435,330.41
  5. Step 5: Solve for x
    x = 59,562,435,330.41/268,253.76
  6. Step 6: Final answer
    x = 222,037.65

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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.