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Finding the Fourth Proportional to 227,438.64, 340,881.21 and 160,897.95

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Solution

The fourth proportional to 227,438.64, 340,881.21 and 160,897.95 is: 241,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438.64 : 340,881.21 = 160,897.95 : x
  2. Step 2: Convert to fraction form
    227,438.64/340,881.21 = 160,897.95/x
  3. Step 3: Cross multiply
    227,438.64x = 340,881.21 × 160,897.95
  4. Step 4: Simplify right side
    227,438.64x = 54,847,087,882.52
  5. Step 5: Solve for x
    x = 54,847,087,882.52/227,438.64
  6. Step 6: Final answer
    x = 241,151.14

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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.