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Finding the Fourth Proportional to 308,856.86, 463,176.76 and 92,651.13

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Solution

The fourth proportional to 308,856.86, 463,176.76 and 92,651.13 is: 138,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,856.86 : 463,176.76 = 92,651.13 : x
  2. Step 2: Convert to fraction form
    308,856.86/463,176.76 = 92,651.13/x
  3. Step 3: Cross multiply
    308,856.86x = 463,176.76 × 92,651.13
  4. Step 4: Simplify right side
    308,856.86x = 42,913,850,145.83
  5. Step 5: Solve for x
    x = 42,913,850,145.83/308,856.86
  6. Step 6: Final answer
    x = 138,944.14

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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.