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Finding the Fourth Proportional to 164,498.96, 226,994.88 and 96,508.82

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Solution

The fourth proportional to 164,498.96, 226,994.88 and 96,508.82 is: 133,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,498.96 : 226,994.88 = 96,508.82 : x
  2. Step 2: Convert to fraction form
    164,498.96/226,994.88 = 96,508.82/x
  3. Step 3: Cross multiply
    164,498.96x = 226,994.88 × 96,508.82
  4. Step 4: Simplify right side
    164,498.96x = 21,907,006,879.87
  5. Step 5: Solve for x
    x = 21,907,006,879.87/164,498.96
  6. Step 6: Final answer
    x = 133,174.14

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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.