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Finding the Fourth Proportional to 205,854.99, 284,045.58 and 120,988.41

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Solution

The fourth proportional to 205,854.99, 284,045.58 and 120,988.41 is: 166,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854.99 : 284,045.58 = 120,988.41 : x
  2. Step 2: Convert to fraction form
    205,854.99/284,045.58 = 120,988.41/x
  3. Step 3: Cross multiply
    205,854.99x = 284,045.58 × 120,988.41
  4. Step 4: Simplify right side
    205,854.99x = 34,366,223,091.73
  5. Step 5: Solve for x
    x = 34,366,223,091.73/205,854.99
  6. Step 6: Final answer
    x = 166,943.84

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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.