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Finding the Fourth Proportional to 308,882.96, 463,624.04 and 149,071.36

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Solution

The fourth proportional to 308,882.96, 463,624.04 and 149,071.36 is: 223,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,882.96 : 463,624.04 = 149,071.36 : x
  2. Step 2: Convert to fraction form
    308,882.96/463,624.04 = 149,071.36/x
  3. Step 3: Cross multiply
    308,882.96x = 463,624.04 × 149,071.36
  4. Step 4: Simplify right side
    308,882.96x = 69,113,066,171.49
  5. Step 5: Solve for x
    x = 69,113,066,171.49/308,882.96
  6. Step 6: Final answer
    x = 223,751.63

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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.