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Finding the Fourth Proportional to 208,852.80, 313,279.20 and 145,867.20

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Solution

The fourth proportional to 208,852.80, 313,279.20 and 145,867.20 is: 218,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.80 : 313,279.20 = 145,867.20 : x
  2. Step 2: Convert to fraction form
    208,852.80/313,279.20 = 145,867.20/x
  3. Step 3: Cross multiply
    208,852.80x = 313,279.20 × 145,867.20
  4. Step 4: Simplify right side
    208,852.80x = 45,697,159,722.24
  5. Step 5: Solve for x
    x = 45,697,159,722.24/208,852.80
  6. Step 6: Final answer
    x = 218,800.80

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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.