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Finding the Fourth Proportional to 164,458.28, 226,952.04 and 89,006.84

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Solution

The fourth proportional to 164,458.28, 226,952.04 and 89,006.84 is: 122,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,458.28 : 226,952.04 = 89,006.84 : x
  2. Step 2: Convert to fraction form
    164,458.28/226,952.04 = 89,006.84/x
  3. Step 3: Cross multiply
    164,458.28x = 226,952.04 × 89,006.84
  4. Step 4: Simplify right side
    164,458.28x = 20,200,283,911.95
  5. Step 5: Solve for x
    x = 20,200,283,911.95/164,458.28
  6. Step 6: Final answer
    x = 122,829.23

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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.