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Finding the Fourth Proportional to 227,431.64, 340,870.71 and 160,890.95

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Solution

The fourth proportional to 227,431.64, 340,870.71 and 160,890.95 is: 241,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,431.64 : 340,870.71 = 160,890.95 : x
  2. Step 2: Convert to fraction form
    227,431.64/340,870.71 = 160,890.95/x
  3. Step 3: Cross multiply
    227,431.64x = 340,870.71 × 160,890.95
  4. Step 4: Simplify right side
    227,431.64x = 54,843,012,359.07
  5. Step 5: Solve for x
    x = 54,843,012,359.07/227,431.64
  6. Step 6: Final answer
    x = 241,140.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.