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Finding the Fourth Proportional to 184,804.47, 277,164.32 and 51,694.16

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Solution

The fourth proportional to 184,804.47, 277,164.32 and 51,694.16 is: 77,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,804.47 : 277,164.32 = 51,694.16 : x
  2. Step 2: Convert to fraction form
    184,804.47/277,164.32 = 51,694.16/x
  3. Step 3: Cross multiply
    184,804.47x = 277,164.32 × 51,694.16
  4. Step 4: Simplify right side
    184,804.47x = 14,327,775,060.08
  5. Step 5: Solve for x
    x = 14,327,775,060.08/184,804.47
  6. Step 6: Final answer
    x = 77,529.38

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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.