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Finding the Fourth Proportional to 233,712.17, 323,067.62 and 208,468.72

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Solution

The fourth proportional to 233,712.17, 323,067.62 and 208,468.72 is: 288,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,712.17 : 323,067.62 = 208,468.72 : x
  2. Step 2: Convert to fraction form
    233,712.17/323,067.62 = 208,468.72/x
  3. Step 3: Cross multiply
    233,712.17x = 323,067.62 × 208,468.72
  4. Step 4: Simplify right side
    233,712.17x = 67,349,494,139.85
  5. Step 5: Solve for x
    x = 67,349,494,139.85/233,712.17
  6. Step 6: Final answer
    x = 288,172.82

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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.