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Finding the Fourth Proportional to 223,579.42, 308,437.82 and 132,883.84

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Solution

The fourth proportional to 223,579.42, 308,437.82 and 132,883.84 is: 183,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,579.42 : 308,437.82 = 132,883.84 : x
  2. Step 2: Convert to fraction form
    223,579.42/308,437.82 = 132,883.84/x
  3. Step 3: Cross multiply
    223,579.42x = 308,437.82 × 132,883.84
  4. Step 4: Simplify right side
    223,579.42x = 40,986,403,009.75
  5. Step 5: Solve for x
    x = 40,986,403,009.75/223,579.42
  6. Step 6: Final answer
    x = 183,319.21

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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.