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Finding the Fourth Proportional to 199,546.09, 299,368.34 and 59,304.71

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Solution

The fourth proportional to 199,546.09, 299,368.34 and 59,304.71 is: 88,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,546.09 : 299,368.34 = 59,304.71 : x
  2. Step 2: Convert to fraction form
    199,546.09/299,368.34 = 59,304.71/x
  3. Step 3: Cross multiply
    199,546.09x = 299,368.34 × 59,304.71
  4. Step 4: Simplify right side
    199,546.09x = 17,753,952,290.36
  5. Step 5: Solve for x
    x = 17,753,952,290.36/199,546.09
  6. Step 6: Final answer
    x = 88,971.69

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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.