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Finding the Fourth Proportional to 164,574.55, 227,203.26 and 103,384.56

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Solution

The fourth proportional to 164,574.55, 227,203.26 and 103,384.56 is: 142,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,574.55 : 227,203.26 = 103,384.56 : x
  2. Step 2: Convert to fraction form
    164,574.55/227,203.26 = 103,384.56/x
  3. Step 3: Cross multiply
    164,574.55x = 227,203.26 × 103,384.56
  4. Step 4: Simplify right side
    164,574.55x = 23,489,309,065.67
  5. Step 5: Solve for x
    x = 23,489,309,065.67/164,574.55
  6. Step 6: Final answer
    x = 142,727.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.