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Finding the Fourth Proportional to 78,192, 107,904.96 and 42,864

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Solution

The fourth proportional to 78,192, 107,904.96 and 42,864 is: 59,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192 : 107,904.96 = 42,864 : x
  2. Step 2: Convert to fraction form
    78,192/107,904.96 = 42,864/x
  3. Step 3: Cross multiply
    78,192x = 107,904.96 × 42,864
  4. Step 4: Simplify right side
    78,192x = 4,625,238,205.44
  5. Step 5: Solve for x
    x = 4,625,238,205.44/78,192
  6. Step 6: Final answer
    x = 59,152.32

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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.