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Finding the Fourth Proportional to 227,586.28, 313,927.14 and 163,823.08

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Solution

The fourth proportional to 227,586.28, 313,927.14 and 163,823.08 is: 225,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,586.28 : 313,927.14 = 163,823.08 : x
  2. Step 2: Convert to fraction form
    227,586.28/313,927.14 = 163,823.08/x
  3. Step 3: Cross multiply
    227,586.28x = 313,927.14 × 163,823.08
  4. Step 4: Simplify right side
    227,586.28x = 51,428,510,970.39
  5. Step 5: Solve for x
    x = 51,428,510,970.39/227,586.28
  6. Step 6: Final answer
    x = 225,973.69

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