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Finding the Fourth Proportional to 184,589.86, 254,734.01 and 99,706.92

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Solution

The fourth proportional to 184,589.86, 254,734.01 and 99,706.92 is: 137,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,589.86 : 254,734.01 = 99,706.92 : x
  2. Step 2: Convert to fraction form
    184,589.86/254,734.01 = 99,706.92/x
  3. Step 3: Cross multiply
    184,589.86x = 254,734.01 × 99,706.92
  4. Step 4: Simplify right side
    184,589.86x = 25,398,743,057.81
  5. Step 5: Solve for x
    x = 25,398,743,057.81/184,589.86
  6. Step 6: Final answer
    x = 137,595.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.