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Finding the Fourth Proportional to 259,001.47, 357,408.16 and 142,711.33

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Solution

The fourth proportional to 259,001.47, 357,408.16 and 142,711.33 is: 196,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,001.47 : 357,408.16 = 142,711.33 : x
  2. Step 2: Convert to fraction form
    259,001.47/357,408.16 = 142,711.33/x
  3. Step 3: Cross multiply
    259,001.47x = 357,408.16 × 142,711.33
  4. Step 4: Simplify right side
    259,001.47x = 51,006,193,866.45
  5. Step 5: Solve for x
    x = 51,006,193,866.45/259,001.47
  6. Step 6: Final answer
    x = 196,933.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.