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Finding the Fourth Proportional to 164,703, 227,264.31 and 95,807.73

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Solution

The fourth proportional to 164,703, 227,264.31 and 95,807.73 is: 132,199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703 : 227,264.31 = 95,807.73 : x
  2. Step 2: Convert to fraction form
    164,703/227,264.31 = 95,807.73/x
  3. Step 3: Cross multiply
    164,703x = 227,264.31 × 95,807.73
  4. Step 4: Simplify right side
    164,703x = 21,773,677,651.12
  5. Step 5: Solve for x
    x = 21,773,677,651.12/164,703
  6. Step 6: Final answer
    x = 132,199.64

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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.