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Finding the Fourth Proportional to 205,433.92, 283,536 and 132,926.08

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Solution

The fourth proportional to 205,433.92, 283,536 and 132,926.08 is: 183,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,433.92 : 283,536 = 132,926.08 : x
  2. Step 2: Convert to fraction form
    205,433.92/283,536 = 132,926.08/x
  3. Step 3: Cross multiply
    205,433.92x = 283,536 × 132,926.08
  4. Step 4: Simplify right side
    205,433.92x = 37,689,329,018.88
  5. Step 5: Solve for x
    x = 37,689,329,018.88/205,433.92
  6. Step 6: Final answer
    x = 183,462.05

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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.