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Finding the Fourth Proportional to 206,962.64, 310,435.32 and 59,218.64

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Solution

The fourth proportional to 206,962.64, 310,435.32 and 59,218.64 is: 88,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,962.64 : 310,435.32 = 59,218.64 : x
  2. Step 2: Convert to fraction form
    206,962.64/310,435.32 = 59,218.64/x
  3. Step 3: Cross multiply
    206,962.64x = 310,435.32 × 59,218.64
  4. Step 4: Simplify right side
    206,962.64x = 18,383,557,458.36
  5. Step 5: Solve for x
    x = 18,383,557,458.36/206,962.64
  6. Step 6: Final answer
    x = 88,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.