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Finding the Fourth Proportional to 164,282.22, 226,709.55 and 88,830.72

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Solution

The fourth proportional to 164,282.22, 226,709.55 and 88,830.72 is: 122,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,282.22 : 226,709.55 = 88,830.72 : x
  2. Step 2: Convert to fraction form
    164,282.22/226,709.55 = 88,830.72/x
  3. Step 3: Cross multiply
    164,282.22x = 226,709.55 × 88,830.72
  4. Step 4: Simplify right side
    164,282.22x = 20,138,772,557.38
  5. Step 5: Solve for x
    x = 20,138,772,557.38/164,282.22
  6. Step 6: Final answer
    x = 122,586.44

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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.