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Finding the Fourth Proportional to 164,482.72, 227,022.14 and 104,133.83

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Solution

The fourth proportional to 164,482.72, 227,022.14 and 104,133.83 is: 143,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,482.72 : 227,022.14 = 104,133.83 : x
  2. Step 2: Convert to fraction form
    164,482.72/227,022.14 = 104,133.83/x
  3. Step 3: Cross multiply
    164,482.72x = 227,022.14 × 104,133.83
  4. Step 4: Simplify right side
    164,482.72x = 23,640,684,058.22
  5. Step 5: Solve for x
    x = 23,640,684,058.22/164,482.72
  6. Step 6: Final answer
    x = 143,727.47

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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.