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Finding the Fourth Proportional to 140,184, 193,471.74 and 92,536.56

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Solution

The fourth proportional to 140,184, 193,471.74 and 92,536.56 is: 127,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,184 : 193,471.74 = 92,536.56 : x
  2. Step 2: Convert to fraction form
    140,184/193,471.74 = 92,536.56/x
  3. Step 3: Cross multiply
    140,184x = 193,471.74 × 92,536.56
  4. Step 4: Simplify right side
    140,184x = 17,903,209,276.81
  5. Step 5: Solve for x
    x = 17,903,209,276.81/140,184
  6. Step 6: Final answer
    x = 127,712.22

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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.