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Finding the Fourth Proportional to 342,001.92, 513,196.16 and 184,226.56

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Solution

The fourth proportional to 342,001.92, 513,196.16 and 184,226.56 is: 276,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,001.92 : 513,196.16 = 184,226.56 : x
  2. Step 2: Convert to fraction form
    342,001.92/513,196.16 = 184,226.56/x
  3. Step 3: Cross multiply
    342,001.92x = 513,196.16 × 184,226.56
  4. Step 4: Simplify right side
    342,001.92x = 94,544,363,162.01
  5. Step 5: Solve for x
    x = 94,544,363,162.01/342,001.92
  6. Step 6: Final answer
    x = 276,443.95

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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.