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Finding the Fourth Proportional to 208,859.80, 313,289.70 and 96,539.80

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Solution

The fourth proportional to 208,859.80, 313,289.70 and 96,539.80 is: 144,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,859.80 : 313,289.70 = 96,539.80 : x
  2. Step 2: Convert to fraction form
    208,859.80/313,289.70 = 96,539.80/x
  3. Step 3: Cross multiply
    208,859.80x = 313,289.70 × 96,539.80
  4. Step 4: Simplify right side
    208,859.80x = 30,244,924,980.06
  5. Step 5: Solve for x
    x = 30,244,924,980.06/208,859.80
  6. Step 6: Final answer
    x = 144,809.70

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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.