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Finding the Fourth Proportional to 204,442.64, 282,130.82 and 113,796.64

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Solution

The fourth proportional to 204,442.64, 282,130.82 and 113,796.64 is: 157,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,442.64 : 282,130.82 = 113,796.64 : x
  2. Step 2: Convert to fraction form
    204,442.64/282,130.82 = 113,796.64/x
  3. Step 3: Cross multiply
    204,442.64x = 282,130.82 × 113,796.64
  4. Step 4: Simplify right side
    204,442.64x = 32,105,539,356.44
  5. Step 5: Solve for x
    x = 32,105,539,356.44/204,442.64
  6. Step 6: Final answer
    x = 157,039.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.