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Finding the Fourth Proportional to 227,753.28, 314,303.76 and 125,784

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Solution

The fourth proportional to 227,753.28, 314,303.76 and 125,784 is: 173,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,753.28 : 314,303.76 = 125,784 : x
  2. Step 2: Convert to fraction form
    227,753.28/314,303.76 = 125,784/x
  3. Step 3: Cross multiply
    227,753.28x = 314,303.76 × 125,784
  4. Step 4: Simplify right side
    227,753.28x = 39,534,384,147.84
  5. Step 5: Solve for x
    x = 39,534,384,147.84/227,753.28
  6. Step 6: Final answer
    x = 173,584.26

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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.