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Finding the Fourth Proportional to 101,952.72, 140,689.98 and 56,633.58

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Solution

The fourth proportional to 101,952.72, 140,689.98 and 56,633.58 is: 78,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952.72 : 140,689.98 = 56,633.58 : x
  2. Step 2: Convert to fraction form
    101,952.72/140,689.98 = 56,633.58/x
  3. Step 3: Cross multiply
    101,952.72x = 140,689.98 × 56,633.58
  4. Step 4: Simplify right side
    101,952.72x = 7,967,777,237.53
  5. Step 5: Solve for x
    x = 7,967,777,237.53/101,952.72
  6. Step 6: Final answer
    x = 78,151.69

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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.