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Finding the Fourth Proportional to 308,113.51, 462,179.69 and 105,706.78

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Solution

The fourth proportional to 308,113.51, 462,179.69 and 105,706.78 is: 158,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,113.51 : 462,179.69 = 105,706.78 : x
  2. Step 2: Convert to fraction form
    308,113.51/462,179.69 = 105,706.78/x
  3. Step 3: Cross multiply
    308,113.51x = 462,179.69 × 105,706.78
  4. Step 4: Simplify right side
    308,113.51x = 48,855,525,343.96
  5. Step 5: Solve for x
    x = 48,855,525,343.96/308,113.51
  6. Step 6: Final answer
    x = 158,563.40

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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.