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Finding the Fourth Proportional to 308,802.80, 463,204.20 and 109,129.70

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Solution

The fourth proportional to 308,802.80, 463,204.20 and 109,129.70 is: 163,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,802.80 : 463,204.20 = 109,129.70 : x
  2. Step 2: Convert to fraction form
    308,802.80/463,204.20 = 109,129.70/x
  3. Step 3: Cross multiply
    308,802.80x = 463,204.20 × 109,129.70
  4. Step 4: Simplify right side
    308,802.80x = 50,549,335,384.74
  5. Step 5: Solve for x
    x = 50,549,335,384.74/308,802.80
  6. Step 6: Final answer
    x = 163,694.55

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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.