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Finding the Fourth Proportional to 199,564, 299,395.32 and 59,322.04

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Solution

The fourth proportional to 199,564, 299,395.32 and 59,322.04 is: 88,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564 : 299,395.32 = 59,322.04 : x
  2. Step 2: Convert to fraction form
    199,564/299,395.32 = 59,322.04/x
  3. Step 3: Cross multiply
    199,564x = 299,395.32 × 59,322.04
  4. Step 4: Simplify right side
    199,564x = 17,760,741,148.85
  5. Step 5: Solve for x
    x = 17,760,741,148.85/199,564
  6. Step 6: Final answer
    x = 88,997.72

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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.