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Finding the Fourth Proportional to 184,543.86, 276,188.10 and 113,429

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Solution

The fourth proportional to 184,543.86, 276,188.10 and 113,429 is: 169,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,543.86 : 276,188.10 = 113,429 : x
  2. Step 2: Convert to fraction form
    184,543.86/276,188.10 = 113,429/x
  3. Step 3: Cross multiply
    184,543.86x = 276,188.10 × 113,429
  4. Step 4: Simplify right side
    184,543.86x = 31,327,739,994.90
  5. Step 5: Solve for x
    x = 31,327,739,994.90/184,543.86
  6. Step 6: Final answer
    x = 169,757.69

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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.