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Finding the Fourth Proportional to 206,007.32, 308,962.58 and 116,089.22

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Solution

The fourth proportional to 206,007.32, 308,962.58 and 116,089.22 is: 174,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,007.32 : 308,962.58 = 116,089.22 : x
  2. Step 2: Convert to fraction form
    206,007.32/308,962.58 = 116,089.22/x
  3. Step 3: Cross multiply
    206,007.32x = 308,962.58 × 116,089.22
  4. Step 4: Simplify right side
    206,007.32x = 35,867,222,796.13
  5. Step 5: Solve for x
    x = 35,867,222,796.13/206,007.32
  6. Step 6: Final answer
    x = 174,106.55

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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.