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Finding the Fourth Proportional to 101,821.36, 140,514.24 and 56,499.52

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Solution

The fourth proportional to 101,821.36, 140,514.24 and 56,499.52 is: 77,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,821.36 : 140,514.24 = 56,499.52 : x
  2. Step 2: Convert to fraction form
    101,821.36/140,514.24 = 56,499.52/x
  3. Step 3: Cross multiply
    101,821.36x = 140,514.24 × 56,499.52
  4. Step 4: Simplify right side
    101,821.36x = 7,938,987,113.16
  5. Step 5: Solve for x
    x = 7,938,987,113.16/101,821.36
  6. Step 6: Final answer
    x = 77,969.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.