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Finding the Fourth Proportional to 205,772.04, 284,062.50 and 154,804.24

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Solution

The fourth proportional to 205,772.04, 284,062.50 and 154,804.24 is: 213,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,772.04 : 284,062.50 = 154,804.24 : x
  2. Step 2: Convert to fraction form
    205,772.04/284,062.50 = 154,804.24/x
  3. Step 3: Cross multiply
    205,772.04x = 284,062.50 × 154,804.24
  4. Step 4: Simplify right side
    205,772.04x = 43,974,079,425
  5. Step 5: Solve for x
    x = 43,974,079,425/205,772.04
  6. Step 6: Final answer
    x = 213,702.89

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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.