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Finding the Fourth Proportional to 184,235.42, 275,781.06 and 99,785.83

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Solution

The fourth proportional to 184,235.42, 275,781.06 and 99,785.83 is: 149,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,235.42 : 275,781.06 = 99,785.83 : x
  2. Step 2: Convert to fraction form
    184,235.42/275,781.06 = 99,785.83/x
  3. Step 3: Cross multiply
    184,235.42x = 275,781.06 × 99,785.83
  4. Step 4: Simplify right side
    184,235.42x = 27,519,041,970.38
  5. Step 5: Solve for x
    x = 27,519,041,970.38/184,235.42
  6. Step 6: Final answer
    x = 149,368.90

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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.