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Finding the Fourth Proportional to 199,678.72, 299,530.08 and 59,425.60

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Solution

The fourth proportional to 199,678.72, 299,530.08 and 59,425.60 is: 89,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,678.72 : 299,530.08 = 59,425.60 : x
  2. Step 2: Convert to fraction form
    199,678.72/299,530.08 = 59,425.60/x
  3. Step 3: Cross multiply
    199,678.72x = 299,530.08 × 59,425.60
  4. Step 4: Simplify right side
    199,678.72x = 17,799,754,722.05
  5. Step 5: Solve for x
    x = 17,799,754,722.05/199,678.72
  6. Step 6: Final answer
    x = 89,141.97

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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.