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Finding the Fourth Proportional to 223,561.59, 308,304.09 and 146,945.31

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Solution

The fourth proportional to 223,561.59, 308,304.09 and 146,945.31 is: 202,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,561.59 : 308,304.09 = 146,945.31 : x
  2. Step 2: Convert to fraction form
    223,561.59/308,304.09 = 146,945.31/x
  3. Step 3: Cross multiply
    223,561.59x = 308,304.09 × 146,945.31
  4. Step 4: Simplify right side
    223,561.59x = 45,303,840,079.32
  5. Step 5: Solve for x
    x = 45,303,840,079.32/223,561.59
  6. Step 6: Final answer
    x = 202,645.90

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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.