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Finding the Fourth Proportional to 184,655.92, 254,825.34 and 99,773.20

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Solution

The fourth proportional to 184,655.92, 254,825.34 and 99,773.20 is: 137,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,655.92 : 254,825.34 = 99,773.20 : x
  2. Step 2: Convert to fraction form
    184,655.92/254,825.34 = 99,773.20/x
  3. Step 3: Cross multiply
    184,655.92x = 254,825.34 × 99,773.20
  4. Step 4: Simplify right side
    184,655.92x = 25,424,739,612.89
  5. Step 5: Solve for x
    x = 25,424,739,612.89/184,655.92
  6. Step 6: Final answer
    x = 137,687.11

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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.