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Finding the Fourth Proportional to 199,343.34, 298,964.06 and 59,069.16

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Solution

The fourth proportional to 199,343.34, 298,964.06 and 59,069.16 is: 88,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,343.34 : 298,964.06 = 59,069.16 : x
  2. Step 2: Convert to fraction form
    199,343.34/298,964.06 = 59,069.16/x
  3. Step 3: Cross multiply
    199,343.34x = 298,964.06 × 59,069.16
  4. Step 4: Simplify right side
    199,343.34x = 17,659,555,894.39
  5. Step 5: Solve for x
    x = 17,659,555,894.39/199,343.34
  6. Step 6: Final answer
    x = 88,588.64

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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.