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Finding the Fourth Proportional to 133,846.40, 184,708.02 and 77,257.77

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Solution

The fourth proportional to 133,846.40, 184,708.02 and 77,257.77 is: 106,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,846.40 : 184,708.02 = 77,257.77 : x
  2. Step 2: Convert to fraction form
    133,846.40/184,708.02 = 77,257.77/x
  3. Step 3: Cross multiply
    133,846.40x = 184,708.02 × 77,257.77
  4. Step 4: Simplify right side
    133,846.40x = 14,270,129,340.03
  5. Step 5: Solve for x
    x = 14,270,129,340.03/133,846.40
  6. Step 6: Final answer
    x = 106,615.72

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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.