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Finding the Fourth Proportional to 199,415.61, 299,033.29 and 57,228.49

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Solution

The fourth proportional to 199,415.61, 299,033.29 and 57,228.49 is: 85,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415.61 : 299,033.29 = 57,228.49 : x
  2. Step 2: Convert to fraction form
    199,415.61/299,033.29 = 57,228.49/x
  3. Step 3: Cross multiply
    199,415.61x = 299,033.29 × 57,228.49
  4. Step 4: Simplify right side
    199,415.61x = 17,113,224,883.49
  5. Step 5: Solve for x
    x = 17,113,224,883.49/199,415.61
  6. Step 6: Final answer
    x = 85,816.87

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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.