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Finding the Fourth Proportional to 92,184, 126,946 and 80,078.92

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Solution

The fourth proportional to 92,184, 126,946 and 80,078.92 is: 110,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,184 : 126,946 = 80,078.92 : x
  2. Step 2: Convert to fraction form
    92,184/126,946 = 80,078.92/x
  3. Step 3: Cross multiply
    92,184x = 126,946 × 80,078.92
  4. Step 4: Simplify right side
    92,184x = 10,165,698,578.32
  5. Step 5: Solve for x
    x = 10,165,698,578.32/92,184
  6. Step 6: Final answer
    x = 110,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.