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Finding the Fourth Proportional to 184,854.57, 277,270.92 and 51,731.88

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Solution

The fourth proportional to 184,854.57, 277,270.92 and 51,731.88 is: 77,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854.57 : 277,270.92 = 51,731.88 : x
  2. Step 2: Convert to fraction form
    184,854.57/277,270.92 = 51,731.88/x
  3. Step 3: Cross multiply
    184,854.57x = 277,270.92 × 51,731.88
  4. Step 4: Simplify right side
    184,854.57x = 14,343,745,960.93
  5. Step 5: Solve for x
    x = 14,343,745,960.93/184,854.57
  6. Step 6: Final answer
    x = 77,594.76

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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.