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Finding the Fourth Proportional to 226,032.88, 340,402.86 and 205,854.72

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Solution

The fourth proportional to 226,032.88, 340,402.86 and 205,854.72 is: 310,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,032.88 : 340,402.86 = 205,854.72 : x
  2. Step 2: Convert to fraction form
    226,032.88/340,402.86 = 205,854.72/x
  3. Step 3: Cross multiply
    226,032.88x = 340,402.86 × 205,854.72
  4. Step 4: Simplify right side
    226,032.88x = 70,073,535,432.50
  5. Step 5: Solve for x
    x = 70,073,535,432.50/226,032.88
  6. Step 6: Final answer
    x = 310,014.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.