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Finding the Fourth Proportional to 308,574.35, 462,871.75 and 106,168.51

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Solution

The fourth proportional to 308,574.35, 462,871.75 and 106,168.51 is: 159,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,574.35 : 462,871.75 = 106,168.51 : x
  2. Step 2: Convert to fraction form
    308,574.35/462,871.75 = 106,168.51/x
  3. Step 3: Cross multiply
    308,574.35x = 462,871.75 × 106,168.51
  4. Step 4: Simplify right side
    308,574.35x = 49,142,404,018.59
  5. Step 5: Solve for x
    x = 49,142,404,018.59/308,574.35
  6. Step 6: Final answer
    x = 159,256.28

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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.