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Finding the Fourth Proportional to 223,784.56, 308,821.98 and 123,182.56

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Solution

The fourth proportional to 223,784.56, 308,821.98 and 123,182.56 is: 169,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,784.56 : 308,821.98 = 123,182.56 : x
  2. Step 2: Convert to fraction form
    223,784.56/308,821.98 = 123,182.56/x
  3. Step 3: Cross multiply
    223,784.56x = 308,821.98 × 123,182.56
  4. Step 4: Simplify right side
    223,784.56x = 38,041,482,080.67
  5. Step 5: Solve for x
    x = 38,041,482,080.67/223,784.56
  6. Step 6: Final answer
    x = 169,991.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.