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Finding the Fourth Proportional to 207,320.80, 310,981.20 and 102,344.80

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Solution

The fourth proportional to 207,320.80, 310,981.20 and 102,344.80 is: 153,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,320.80 : 310,981.20 = 102,344.80 : x
  2. Step 2: Convert to fraction form
    207,320.80/310,981.20 = 102,344.80/x
  3. Step 3: Cross multiply
    207,320.80x = 310,981.20 × 102,344.80
  4. Step 4: Simplify right side
    207,320.80x = 31,827,308,717.76
  5. Step 5: Solve for x
    x = 31,827,308,717.76/207,320.80
  6. Step 6: Final answer
    x = 153,517.20

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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.