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Finding the Fourth Proportional to 313,134.86, 469,498.17 and 133,126.94

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Solution

The fourth proportional to 313,134.86, 469,498.17 and 133,126.94 is: 199,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,134.86 : 469,498.17 = 133,126.94 : x
  2. Step 2: Convert to fraction form
    313,134.86/469,498.17 = 133,126.94/x
  3. Step 3: Cross multiply
    313,134.86x = 469,498.17 × 133,126.94
  4. Step 4: Simplify right side
    313,134.86x = 62,502,854,707.70
  5. Step 5: Solve for x
    x = 62,502,854,707.70/313,134.86
  6. Step 6: Final answer
    x = 199,603.63

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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.