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Finding the Fourth Proportional to 199,529, 299,293.10 and 116,364.68

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Solution

The fourth proportional to 199,529, 299,293.10 and 116,364.68 is: 174,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,529 : 299,293.10 = 116,364.68 : x
  2. Step 2: Convert to fraction form
    199,529/299,293.10 = 116,364.68/x
  3. Step 3: Cross multiply
    199,529x = 299,293.10 × 116,364.68
  4. Step 4: Simplify right side
    199,529x = 34,827,145,807.71
  5. Step 5: Solve for x
    x = 34,827,145,807.71/199,529
  6. Step 6: Final answer
    x = 174,546.79

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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.