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Finding the Fourth Proportional to 164,283.59, 226,721.94 and 92,662.08

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Solution

The fourth proportional to 164,283.59, 226,721.94 and 92,662.08 is: 127,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283.59 : 226,721.94 = 92,662.08 : x
  2. Step 2: Convert to fraction form
    164,283.59/226,721.94 = 92,662.08/x
  3. Step 3: Cross multiply
    164,283.59x = 226,721.94 × 92,662.08
  4. Step 4: Simplify right side
    164,283.59x = 21,008,526,542.04
  5. Step 5: Solve for x
    x = 21,008,526,542.04/164,283.59
  6. Step 6: Final answer
    x = 127,879.64

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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.