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Finding the Fourth Proportional to 185,645.78, 278,424.07 and 85,710

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Solution

The fourth proportional to 185,645.78, 278,424.07 and 85,710 is: 128,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,645.78 : 278,424.07 = 85,710 : x
  2. Step 2: Convert to fraction form
    185,645.78/278,424.07 = 85,710/x
  3. Step 3: Cross multiply
    185,645.78x = 278,424.07 × 85,710
  4. Step 4: Simplify right side
    185,645.78x = 23,863,726,825.43
  5. Step 5: Solve for x
    x = 23,863,726,825.43/185,645.78
  6. Step 6: Final answer
    x = 128,544.41

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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.