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Finding the Fourth Proportional to 204,924.10, 282,796.86 and 114,285.82

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Solution

The fourth proportional to 204,924.10, 282,796.86 and 114,285.82 is: 157,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,924.10 : 282,796.86 = 114,285.82 : x
  2. Step 2: Convert to fraction form
    204,924.10/282,796.86 = 114,285.82/x
  3. Step 3: Cross multiply
    204,924.10x = 282,796.86 × 114,285.82
  4. Step 4: Simplify right side
    204,924.10x = 32,319,671,038.53
  5. Step 5: Solve for x
    x = 32,319,671,038.53/204,924.10
  6. Step 6: Final answer
    x = 157,715.33

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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.