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Finding the Fourth Proportional to 223,500.26, 308,557.43 and 178,032.53

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Solution

The fourth proportional to 223,500.26, 308,557.43 and 178,032.53 is: 245,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,500.26 : 308,557.43 = 178,032.53 : x
  2. Step 2: Convert to fraction form
    223,500.26/308,557.43 = 178,032.53/x
  3. Step 3: Cross multiply
    223,500.26x = 308,557.43 × 178,032.53
  4. Step 4: Simplify right side
    223,500.26x = 54,933,257,480.25
  5. Step 5: Solve for x
    x = 54,933,257,480.25/223,500.26
  6. Step 6: Final answer
    x = 245,786.11

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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.