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Finding the Fourth Proportional to 204,465.25, 282,159.01 and 113,821.05

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Solution

The fourth proportional to 204,465.25, 282,159.01 and 113,821.05 is: 157,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,465.25 : 282,159.01 = 113,821.05 : x
  2. Step 2: Convert to fraction form
    204,465.25/282,159.01 = 113,821.05/x
  3. Step 3: Cross multiply
    204,465.25x = 282,159.01 × 113,821.05
  4. Step 4: Simplify right side
    204,465.25x = 32,115,634,785.16
  5. Step 5: Solve for x
    x = 32,115,634,785.16/204,465.25
  6. Step 6: Final answer
    x = 157,071.36

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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.