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Finding the Fourth Proportional to 101,496.78, 140,065.85 and 56,177.91

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Solution

The fourth proportional to 101,496.78, 140,065.85 and 56,177.91 is: 77,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,496.78 : 140,065.85 = 56,177.91 : x
  2. Step 2: Convert to fraction form
    101,496.78/140,065.85 = 56,177.91/x
  3. Step 3: Cross multiply
    101,496.78x = 140,065.85 × 56,177.91
  4. Step 4: Simplify right side
    101,496.78x = 7,868,606,715.37
  5. Step 5: Solve for x
    x = 7,868,606,715.37/101,496.78
  6. Step 6: Final answer
    x = 77,525.68

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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.