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Finding the Fourth Proportional to 164,473, 227,015.28 and 107,254.96

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Solution

The fourth proportional to 164,473, 227,015.28 and 107,254.96 is: 148,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,473 : 227,015.28 = 107,254.96 : x
  2. Step 2: Convert to fraction form
    164,473/227,015.28 = 107,254.96/x
  3. Step 3: Cross multiply
    164,473x = 227,015.28 × 107,254.96
  4. Step 4: Simplify right side
    164,473x = 24,348,514,775.79
  5. Step 5: Solve for x
    x = 24,348,514,775.79/164,473
  6. Step 6: Final answer
    x = 148,039.59

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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.