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Finding the Fourth Proportional to 123,827.76, 185,767.36 and 56,327.68

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Solution

The fourth proportional to 123,827.76, 185,767.36 and 56,327.68 is: 84,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,827.76 : 185,767.36 = 56,327.68 : x
  2. Step 2: Convert to fraction form
    123,827.76/185,767.36 = 56,327.68/x
  3. Step 3: Cross multiply
    123,827.76x = 185,767.36 × 56,327.68
  4. Step 4: Simplify right side
    123,827.76x = 10,463,844,408.52
  5. Step 5: Solve for x
    x = 10,463,844,408.52/123,827.76
  6. Step 6: Final answer
    x = 84,503.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.