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Finding the Fourth Proportional to 204,056.64, 281,594.52 and 113,411.16

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Solution

The fourth proportional to 204,056.64, 281,594.52 and 113,411.16 is: 156,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,056.64 : 281,594.52 = 113,411.16 : x
  2. Step 2: Convert to fraction form
    204,056.64/281,594.52 = 113,411.16/x
  3. Step 3: Cross multiply
    204,056.64x = 281,594.52 × 113,411.16
  4. Step 4: Simplify right side
    204,056.64x = 31,935,961,162.84
  5. Step 5: Solve for x
    x = 31,935,961,162.84/204,056.64
  6. Step 6: Final answer
    x = 156,505.38

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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.