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Finding the Fourth Proportional to 227,599.28, 314,040.11 and 130,784.43

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Solution

The fourth proportional to 227,599.28, 314,040.11 and 130,784.43 is: 180,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,599.28 : 314,040.11 = 130,784.43 : x
  2. Step 2: Convert to fraction form
    227,599.28/314,040.11 = 130,784.43/x
  3. Step 3: Cross multiply
    227,599.28x = 314,040.11 × 130,784.43
  4. Step 4: Simplify right side
    227,599.28x = 41,071,554,559.36
  5. Step 5: Solve for x
    x = 41,071,554,559.36/227,599.28
  6. Step 6: Final answer
    x = 180,455.56

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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.