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Finding the Fourth Proportional to 164,078.26, 226,428 and 88,626.76

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Solution

The fourth proportional to 164,078.26, 226,428 and 88,626.76 is: 122,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078.26 : 226,428 = 88,626.76 : x
  2. Step 2: Convert to fraction form
    164,078.26/226,428 = 88,626.76/x
  3. Step 3: Cross multiply
    164,078.26x = 226,428 × 88,626.76
  4. Step 4: Simplify right side
    164,078.26x = 20,067,580,013.28
  5. Step 5: Solve for x
    x = 20,067,580,013.28/164,078.26
  6. Step 6: Final answer
    x = 122,304.93

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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.