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Finding the Fourth Proportional to 223,691.10, 308,539.17 and 186,795.60

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Solution

The fourth proportional to 223,691.10, 308,539.17 and 186,795.60 is: 257,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,691.10 : 308,539.17 = 186,795.60 : x
  2. Step 2: Convert to fraction form
    223,691.10/308,539.17 = 186,795.60/x
  3. Step 3: Cross multiply
    223,691.10x = 308,539.17 × 186,795.60
  4. Step 4: Simplify right side
    223,691.10x = 57,633,759,383.65
  5. Step 5: Solve for x
    x = 57,633,759,383.65/223,691.10
  6. Step 6: Final answer
    x = 257,648.87

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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.