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Finding the Fourth Proportional to 223,468.42, 308,084.58 and 151,723.90

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Solution

The fourth proportional to 223,468.42, 308,084.58 and 151,723.90 is: 209,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,468.42 : 308,084.58 = 151,723.90 : x
  2. Step 2: Convert to fraction form
    223,468.42/308,084.58 = 151,723.90/x
  3. Step 3: Cross multiply
    223,468.42x = 308,084.58 × 151,723.90
  4. Step 4: Simplify right side
    223,468.42x = 46,743,794,007.46
  5. Step 5: Solve for x
    x = 46,743,794,007.46/223,468.42
  6. Step 6: Final answer
    x = 209,174.05

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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.