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Finding the Fourth Proportional to 313,613.83, 470,141.88 and 136,023.94

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Solution

The fourth proportional to 313,613.83, 470,141.88 and 136,023.94 is: 203,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,613.83 : 470,141.88 = 136,023.94 : x
  2. Step 2: Convert to fraction form
    313,613.83/470,141.88 = 136,023.94/x
  3. Step 3: Cross multiply
    313,613.83x = 470,141.88 × 136,023.94
  4. Step 4: Simplify right side
    313,613.83x = 63,950,550,876.61
  5. Step 5: Solve for x
    x = 63,950,550,876.61/313,613.83
  6. Step 6: Final answer
    x = 203,914.96

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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.