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Finding the Fourth Proportional to 199,795.17, 299,712.80 and 57,643.97

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Solution

The fourth proportional to 199,795.17, 299,712.80 and 57,643.97 is: 86,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,795.17 : 299,712.80 = 57,643.97 : x
  2. Step 2: Convert to fraction form
    199,795.17/299,712.80 = 57,643.97/x
  3. Step 3: Cross multiply
    199,795.17x = 299,712.80 × 57,643.97
  4. Step 4: Simplify right side
    199,795.17x = 17,276,635,651.82
  5. Step 5: Solve for x
    x = 17,276,635,651.82/199,795.17
  6. Step 6: Final answer
    x = 86,471.74

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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.