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Finding the Fourth Proportional to 100,291.43, 138,384.02 and 64,473.23

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Solution

The fourth proportional to 100,291.43, 138,384.02 and 64,473.23 is: 88,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.43 : 138,384.02 = 64,473.23 : x
  2. Step 2: Convert to fraction form
    100,291.43/138,384.02 = 64,473.23/x
  3. Step 3: Cross multiply
    100,291.43x = 138,384.02 × 64,473.23
  4. Step 4: Simplify right side
    100,291.43x = 8,922,064,749.78
  5. Step 5: Solve for x
    x = 8,922,064,749.78/100,291.43
  6. Step 6: Final answer
    x = 88,961.39

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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.