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Finding the Fourth Proportional to 164,288.09, 226,766.04 and 96,319.82

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Solution

The fourth proportional to 164,288.09, 226,766.04 and 96,319.82 is: 132,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,288.09 : 226,766.04 = 96,319.82 : x
  2. Step 2: Convert to fraction form
    164,288.09/226,766.04 = 96,319.82/x
  3. Step 3: Cross multiply
    164,288.09x = 226,766.04 × 96,319.82
  4. Step 4: Simplify right side
    164,288.09x = 21,842,064,154.91
  5. Step 5: Solve for x
    x = 21,842,064,154.91/164,288.09
  6. Step 6: Final answer
    x = 132,949.77

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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.