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Finding the Fourth Proportional to 194,608.92, 268,560.16 and 105,184.92

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Solution

The fourth proportional to 194,608.92, 268,560.16 and 105,184.92 is: 145,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,608.92 : 268,560.16 = 105,184.92 : x
  2. Step 2: Convert to fraction form
    194,608.92/268,560.16 = 105,184.92/x
  3. Step 3: Cross multiply
    194,608.92x = 268,560.16 × 105,184.92
  4. Step 4: Simplify right side
    194,608.92x = 28,248,478,944.79
  5. Step 5: Solve for x
    x = 28,248,478,944.79/194,608.92
  6. Step 6: Final answer
    x = 145,155.11

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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.