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Finding the Fourth Proportional to 164,036.28, 224,893.71 and 161,046.92

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Solution

The fourth proportional to 164,036.28, 224,893.71 and 161,046.92 is: 220,795.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,036.28 : 224,893.71 = 161,046.92 : x
  2. Step 2: Convert to fraction form
    164,036.28/224,893.71 = 161,046.92/x
  3. Step 3: Cross multiply
    164,036.28x = 224,893.71 × 161,046.92
  4. Step 4: Simplify right side
    164,036.28x = 36,218,439,322.87
  5. Step 5: Solve for x
    x = 36,218,439,322.87/164,036.28
  6. Step 6: Final answer
    x = 220,795.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.