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Finding the Fourth Proportional to 193,709.61, 290,581.16 and 53,468.24

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Solution

The fourth proportional to 193,709.61, 290,581.16 and 53,468.24 is: 80,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,709.61 : 290,581.16 = 53,468.24 : x
  2. Step 2: Convert to fraction form
    193,709.61/290,581.16 = 53,468.24/x
  3. Step 3: Cross multiply
    193,709.61x = 290,581.16 × 53,468.24
  4. Step 4: Simplify right side
    193,709.61x = 15,536,861,482.11
  5. Step 5: Solve for x
    x = 15,536,861,482.11/193,709.61
  6. Step 6: Final answer
    x = 80,206.97

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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.