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Finding the Fourth Proportional to 133,849.70, 200,818.29 and 96,379.10

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Solution

The fourth proportional to 133,849.70, 200,818.29 and 96,379.10 is: 144,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,849.70 : 200,818.29 = 96,379.10 : x
  2. Step 2: Convert to fraction form
    133,849.70/200,818.29 = 96,379.10/x
  3. Step 3: Cross multiply
    133,849.70x = 200,818.29 × 96,379.10
  4. Step 4: Simplify right side
    133,849.70x = 19,354,686,053.74
  5. Step 5: Solve for x
    x = 19,354,686,053.74/133,849.70
  6. Step 6: Final answer
    x = 144,600.15

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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.