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Finding the Fourth Proportional to 223,046.31, 308,057.68 and 151,301.77

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Solution

The fourth proportional to 223,046.31, 308,057.68 and 151,301.77 is: 208,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,046.31 : 308,057.68 = 151,301.77 : x
  2. Step 2: Convert to fraction form
    223,046.31/308,057.68 = 151,301.77/x
  3. Step 3: Cross multiply
    223,046.31x = 308,057.68 × 151,301.77
  4. Step 4: Simplify right side
    223,046.31x = 46,609,673,397.90
  5. Step 5: Solve for x
    x = 46,609,673,397.90/223,046.31
  6. Step 6: Final answer
    x = 208,968.59

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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.