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Finding the Fourth Proportional to 184,996.68, 277,463.71 and 51,846.29

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Solution

The fourth proportional to 184,996.68, 277,463.71 and 51,846.29 is: 77,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,996.68 : 277,463.71 = 51,846.29 : x
  2. Step 2: Convert to fraction form
    184,996.68/277,463.71 = 51,846.29/x
  3. Step 3: Cross multiply
    184,996.68x = 277,463.71 × 51,846.29
  4. Step 4: Simplify right side
    184,996.68x = 14,385,463,973.14
  5. Step 5: Solve for x
    x = 14,385,463,973.14/184,996.68
  6. Step 6: Final answer
    x = 77,760.66

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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.