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Finding the Fourth Proportional to 92,965.50, 139,954.10 and 84,698.64

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Solution

The fourth proportional to 92,965.50, 139,954.10 and 84,698.64 is: 127,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,965.50 : 139,954.10 = 84,698.64 : x
  2. Step 2: Convert to fraction form
    92,965.50/139,954.10 = 84,698.64/x
  3. Step 3: Cross multiply
    92,965.50x = 139,954.10 × 84,698.64
  4. Step 4: Simplify right side
    92,965.50x = 11,853,921,508.93
  5. Step 5: Solve for x
    x = 11,853,921,508.93/92,965.50
  6. Step 6: Final answer
    x = 127,508.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.