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Finding the Fourth Proportional to 204,622.25, 282,364.18 and 112,737.47

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Solution

The fourth proportional to 204,622.25, 282,364.18 and 112,737.47 is: 155,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,622.25 : 282,364.18 = 112,737.47 : x
  2. Step 2: Convert to fraction form
    204,622.25/282,364.18 = 112,737.47/x
  3. Step 3: Cross multiply
    204,622.25x = 282,364.18 × 112,737.47
  4. Step 4: Simplify right side
    204,622.25x = 31,833,021,578.16
  5. Step 5: Solve for x
    x = 31,833,021,578.16/204,622.25
  6. Step 6: Final answer
    x = 155,569.70

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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.