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Finding the Fourth Proportional to 259,264, 357,784.56 and 140,032

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Solution

The fourth proportional to 259,264, 357,784.56 and 140,032 is: 193,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,264 : 357,784.56 = 140,032 : x
  2. Step 2: Convert to fraction form
    259,264/357,784.56 = 140,032/x
  3. Step 3: Cross multiply
    259,264x = 357,784.56 × 140,032
  4. Step 4: Simplify right side
    259,264x = 50,101,287,505.92
  5. Step 5: Solve for x
    x = 50,101,287,505.92/259,264
  6. Step 6: Final answer
    x = 193,244.29

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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.