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Finding the Fourth Proportional to 204,645.54, 282,406.59 and 114,001.32

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Solution

The fourth proportional to 204,645.54, 282,406.59 and 114,001.32 is: 157,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645.54 : 282,406.59 = 114,001.32 : x
  2. Step 2: Convert to fraction form
    204,645.54/282,406.59 = 114,001.32/x
  3. Step 3: Cross multiply
    204,645.54x = 282,406.59 × 114,001.32
  4. Step 4: Simplify right side
    204,645.54x = 32,194,724,036.70
  5. Step 5: Solve for x
    x = 32,194,724,036.70/204,645.54
  6. Step 6: Final answer
    x = 157,319.45

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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.