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Finding the Fourth Proportional to 205,641, 283,772.81 and 113,754.81

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Solution

The fourth proportional to 205,641, 283,772.81 and 113,754.81 is: 156,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,641 : 283,772.81 = 113,754.81 : x
  2. Step 2: Convert to fraction form
    205,641/283,772.81 = 113,754.81/x
  3. Step 3: Cross multiply
    205,641x = 283,772.81 × 113,754.81
  4. Step 4: Simplify right side
    205,641x = 32,280,522,084.72
  5. Step 5: Solve for x
    x = 32,280,522,084.72/205,641
  6. Step 6: Final answer
    x = 156,975.13

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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.