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Finding the Fourth Proportional to 200,986.70, 301,480.05 and 51,226.70

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Solution

The fourth proportional to 200,986.70, 301,480.05 and 51,226.70 is: 76,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986.70 : 301,480.05 = 51,226.70 : x
  2. Step 2: Convert to fraction form
    200,986.70/301,480.05 = 51,226.70/x
  3. Step 3: Cross multiply
    200,986.70x = 301,480.05 × 51,226.70
  4. Step 4: Simplify right side
    200,986.70x = 15,443,828,077.34
  5. Step 5: Solve for x
    x = 15,443,828,077.34/200,986.70
  6. Step 6: Final answer
    x = 76,840.05

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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.