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Finding the Fourth Proportional to 184,993.32, 277,042.84 and 105,867.66

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Solution

The fourth proportional to 184,993.32, 277,042.84 and 105,867.66 is: 158,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,993.32 : 277,042.84 = 105,867.66 : x
  2. Step 2: Convert to fraction form
    184,993.32/277,042.84 = 105,867.66/x
  3. Step 3: Cross multiply
    184,993.32x = 277,042.84 × 105,867.66
  4. Step 4: Simplify right side
    184,993.32x = 29,329,877,190.55
  5. Step 5: Solve for x
    x = 29,329,877,190.55/184,993.32
  6. Step 6: Final answer
    x = 158,545.60

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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.