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Finding the Fourth Proportional to 164,509.17, 227,020.90 and 92,884.92

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Solution

The fourth proportional to 164,509.17, 227,020.90 and 92,884.92 is: 128,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,509.17 : 227,020.90 = 92,884.92 : x
  2. Step 2: Convert to fraction form
    164,509.17/227,020.90 = 92,884.92/x
  3. Step 3: Cross multiply
    164,509.17x = 227,020.90 × 92,884.92
  4. Step 4: Simplify right side
    164,509.17x = 21,086,818,134.83
  5. Step 5: Solve for x
    x = 21,086,818,134.83/164,509.17
  6. Step 6: Final answer
    x = 128,180.20

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1.5x scale

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.