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Finding the Fourth Proportional to 75,333.37, 113,176.50 and 71,077.77

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Solution

The fourth proportional to 75,333.37, 113,176.50 and 71,077.77 is: 106,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333.37 : 113,176.50 = 71,077.77 : x
  2. Step 2: Convert to fraction form
    75,333.37/113,176.50 = 71,077.77/x
  3. Step 3: Cross multiply
    75,333.37x = 113,176.50 × 71,077.77
  4. Step 4: Simplify right side
    75,333.37x = 8,044,332,670.52
  5. Step 5: Solve for x
    x = 8,044,332,670.52/75,333.37
  6. Step 6: Final answer
    x = 106,783.13

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