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Finding the Fourth Proportional to 189,394.76, 284,018.31 and 71,001.50

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Solution

The fourth proportional to 189,394.76, 284,018.31 and 71,001.50 is: 106,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,394.76 : 284,018.31 = 71,001.50 : x
  2. Step 2: Convert to fraction form
    189,394.76/284,018.31 = 71,001.50/x
  3. Step 3: Cross multiply
    189,394.76x = 284,018.31 × 71,001.50
  4. Step 4: Simplify right side
    189,394.76x = 20,165,726,037.47
  5. Step 5: Solve for x
    x = 20,165,726,037.47/189,394.76
  6. Step 6: Final answer
    x = 106,474.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.