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Finding the Fourth Proportional to 101,693.61, 140,322.44 and 56,371.57

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Solution

The fourth proportional to 101,693.61, 140,322.44 and 56,371.57 is: 77,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,693.61 : 140,322.44 = 56,371.57 : x
  2. Step 2: Convert to fraction form
    101,693.61/140,322.44 = 56,371.57/x
  3. Step 3: Cross multiply
    101,693.61x = 140,322.44 × 56,371.57
  4. Step 4: Simplify right side
    101,693.61x = 7,910,196,195.99
  5. Step 5: Solve for x
    x = 7,910,196,195.99/101,693.61
  6. Step 6: Final answer
    x = 77,784.59

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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.