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Finding the Fourth Proportional to 101,709.12, 140,366.87 and 56,401.31

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Solution

The fourth proportional to 101,709.12, 140,366.87 and 56,401.31 is: 77,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.12 : 140,366.87 = 56,401.31 : x
  2. Step 2: Convert to fraction form
    101,709.12/140,366.87 = 56,401.31/x
  3. Step 3: Cross multiply
    101,709.12x = 140,366.87 × 56,401.31
  4. Step 4: Simplify right side
    101,709.12x = 7,916,874,364.76
  5. Step 5: Solve for x
    x = 7,916,874,364.76/101,709.12
  6. Step 6: Final answer
    x = 77,838.39

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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.