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Finding the Fourth Proportional to 164,357.88, 226,814.94 and 96,359.64

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Solution

The fourth proportional to 164,357.88, 226,814.94 and 96,359.64 is: 132,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,357.88 : 226,814.94 = 96,359.64 : x
  2. Step 2: Convert to fraction form
    164,357.88/226,814.94 = 96,359.64/x
  3. Step 3: Cross multiply
    164,357.88x = 226,814.94 × 96,359.64
  4. Step 4: Simplify right side
    164,357.88x = 21,855,805,965.02
  5. Step 5: Solve for x
    x = 21,855,805,965.02/164,357.88
  6. Step 6: Final answer
    x = 132,976.93

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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.