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Finding the Fourth Proportional to 308,711.44, 463,061.49 and 84,068.47

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Solution

The fourth proportional to 308,711.44, 463,061.49 and 84,068.47 is: 126,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,711.44 : 463,061.49 = 84,068.47 : x
  2. Step 2: Convert to fraction form
    308,711.44/463,061.49 = 84,068.47/x
  3. Step 3: Cross multiply
    308,711.44x = 463,061.49 × 84,068.47
  4. Step 4: Simplify right side
    308,711.44x = 38,928,870,980.22
  5. Step 5: Solve for x
    x = 38,928,870,980.22/308,711.44
  6. Step 6: Final answer
    x = 126,101.16

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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.