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Finding the Fourth Proportional to 92,054.32, 137,879.04 and 76,078.32

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Solution

The fourth proportional to 92,054.32, 137,879.04 and 76,078.32 is: 113,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,054.32 : 137,879.04 = 76,078.32 : x
  2. Step 2: Convert to fraction form
    92,054.32/137,879.04 = 76,078.32/x
  3. Step 3: Cross multiply
    92,054.32x = 137,879.04 × 76,078.32
  4. Step 4: Simplify right side
    92,054.32x = 10,489,605,726.41
  5. Step 5: Solve for x
    x = 10,489,605,726.41/92,054.32
  6. Step 6: Final answer
    x = 113,950.17

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Why These Related Problems?

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