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Finding the Fourth Proportional to 101,535, 140,118.30 and 56,823

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Solution

The fourth proportional to 101,535, 140,118.30 and 56,823 is: 78,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,535 : 140,118.30 = 56,823 : x
  2. Step 2: Convert to fraction form
    101,535/140,118.30 = 56,823/x
  3. Step 3: Cross multiply
    101,535x = 140,118.30 × 56,823
  4. Step 4: Simplify right side
    101,535x = 7,961,942,160.90
  5. Step 5: Solve for x
    x = 7,961,942,160.90/101,535
  6. Step 6: Final answer
    x = 78,415.74

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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.