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Finding the Fourth Proportional to 101,732.66, 140,384.24 and 56,408.98

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Solution

The fourth proportional to 101,732.66, 140,384.24 and 56,408.98 is: 77,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,732.66 : 140,384.24 = 56,408.98 : x
  2. Step 2: Convert to fraction form
    101,732.66/140,384.24 = 56,408.98/x
  3. Step 3: Cross multiply
    101,732.66x = 140,384.24 × 56,408.98
  4. Step 4: Simplify right side
    101,732.66x = 7,918,931,786.48
  5. Step 5: Solve for x
    x = 7,918,931,786.48/101,732.66
  6. Step 6: Final answer
    x = 77,840.60

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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.