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Finding the Fourth Proportional to 204,035.80, 306,053.70 and 70,871.80

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Solution

The fourth proportional to 204,035.80, 306,053.70 and 70,871.80 is: 106,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,035.80 : 306,053.70 = 70,871.80 : x
  2. Step 2: Convert to fraction form
    204,035.80/306,053.70 = 70,871.80/x
  3. Step 3: Cross multiply
    204,035.80x = 306,053.70 × 70,871.80
  4. Step 4: Simplify right side
    204,035.80x = 21,690,576,615.66
  5. Step 5: Solve for x
    x = 21,690,576,615.66/204,035.80
  6. Step 6: Final answer
    x = 106,307.70

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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.