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Finding the Fourth Proportional to 204,062.10, 306,011.13 and 77,658.98

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Solution

The fourth proportional to 204,062.10, 306,011.13 and 77,658.98 is: 116,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,062.10 : 306,011.13 = 77,658.98 : x
  2. Step 2: Convert to fraction form
    204,062.10/306,011.13 = 77,658.98/x
  3. Step 3: Cross multiply
    204,062.10x = 306,011.13 × 77,658.98
  4. Step 4: Simplify right side
    204,062.10x = 23,764,510,694.39
  5. Step 5: Solve for x
    x = 23,764,510,694.39/204,062.10
  6. Step 6: Final answer
    x = 116,457.25

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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.