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Finding the Fourth Proportional to 414,070.81, 621,106.30 and 129,761.27

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Solution

The fourth proportional to 414,070.81, 621,106.30 and 129,761.27 is: 194,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,070.81 : 621,106.30 = 129,761.27 : x
  2. Step 2: Convert to fraction form
    414,070.81/621,106.30 = 129,761.27/x
  3. Step 3: Cross multiply
    414,070.81x = 621,106.30 × 129,761.27
  4. Step 4: Simplify right side
    414,070.81x = 80,595,540,948.91
  5. Step 5: Solve for x
    x = 80,595,540,948.91/414,070.81
  6. Step 6: Final answer
    x = 194,641.93

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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.