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Finding the Fourth Proportional to 184,808.16, 277,169.85 and 51,697.80

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Solution

The fourth proportional to 184,808.16, 277,169.85 and 51,697.80 is: 77,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,808.16 : 277,169.85 = 51,697.80 : x
  2. Step 2: Convert to fraction form
    184,808.16/277,169.85 = 51,697.80/x
  3. Step 3: Cross multiply
    184,808.16x = 277,169.85 × 51,697.80
  4. Step 4: Simplify right side
    184,808.16x = 14,329,071,471.33
  5. Step 5: Solve for x
    x = 14,329,071,471.33/184,808.16
  6. Step 6: Final answer
    x = 77,534.84

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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.