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Finding the Fourth Proportional to 189,472, 261,469.56 and 103,430.20

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Solution

The fourth proportional to 189,472, 261,469.56 and 103,430.20 is: 142,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,472 : 261,469.56 = 103,430.20 : x
  2. Step 2: Convert to fraction form
    189,472/261,469.56 = 103,430.20/x
  3. Step 3: Cross multiply
    189,472x = 261,469.56 × 103,430.20
  4. Step 4: Simplify right side
    189,472x = 27,043,848,884.71
  5. Step 5: Solve for x
    x = 27,043,848,884.71/189,472
  6. Step 6: Final answer
    x = 142,732.69

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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.