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Finding the Fourth Proportional to 208,317.60, 312,719.40 and 108,590.40

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Solution

The fourth proportional to 208,317.60, 312,719.40 and 108,590.40 is: 163,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,317.60 : 312,719.40 = 108,590.40 : x
  2. Step 2: Convert to fraction form
    208,317.60/312,719.40 = 108,590.40/x
  3. Step 3: Cross multiply
    208,317.60x = 312,719.40 × 108,590.40
  4. Step 4: Simplify right side
    208,317.60x = 33,958,324,733.76
  5. Step 5: Solve for x
    x = 33,958,324,733.76/208,317.60
  6. Step 6: Final answer
    x = 163,012.27

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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.