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Finding the Fourth Proportional to 204,792.84, 282,604.82 and 114,158.70

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Solution

The fourth proportional to 204,792.84, 282,604.82 and 114,158.70 is: 157,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,792.84 : 282,604.82 = 114,158.70 : x
  2. Step 2: Convert to fraction form
    204,792.84/282,604.82 = 114,158.70/x
  3. Step 3: Cross multiply
    204,792.84x = 282,604.82 × 114,158.70
  4. Step 4: Simplify right side
    204,792.84x = 32,261,798,294.14
  5. Step 5: Solve for x
    x = 32,261,798,294.14/204,792.84
  6. Step 6: Final answer
    x = 157,533.82

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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.