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Finding the Fourth Proportional to 138,894.60, 208,341.90 and 45,409.80

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Solution

The fourth proportional to 138,894.60, 208,341.90 and 45,409.80 is: 68,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,894.60 : 208,341.90 = 45,409.80 : x
  2. Step 2: Convert to fraction form
    138,894.60/208,341.90 = 45,409.80/x
  3. Step 3: Cross multiply
    138,894.60x = 208,341.90 × 45,409.80
  4. Step 4: Simplify right side
    138,894.60x = 9,460,764,010.62
  5. Step 5: Solve for x
    x = 9,460,764,010.62/138,894.60
  6. Step 6: Final answer
    x = 68,114.70

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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.