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Finding the Fourth Proportional to 309,892.92, 464,653.56 and 107,422.08

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Solution

The fourth proportional to 309,892.92, 464,653.56 and 107,422.08 is: 161,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,892.92 : 464,653.56 = 107,422.08 : x
  2. Step 2: Convert to fraction form
    309,892.92/464,653.56 = 107,422.08/x
  3. Step 3: Cross multiply
    309,892.92x = 464,653.56 × 107,422.08
  4. Step 4: Simplify right side
    309,892.92x = 49,914,051,894.60
  5. Step 5: Solve for x
    x = 49,914,051,894.60/309,892.92
  6. Step 6: Final answer
    x = 161,068.71

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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.