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Finding the Fourth Proportional to 164,113.88, 226,477.15 and 88,662.38

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Solution

The fourth proportional to 164,113.88, 226,477.15 and 88,662.38 is: 122,354.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,113.88 : 226,477.15 = 88,662.38 : x
  2. Step 2: Convert to fraction form
    164,113.88/226,477.15 = 88,662.38/x
  3. Step 3: Cross multiply
    164,113.88x = 226,477.15 × 88,662.38
  4. Step 4: Simplify right side
    164,113.88x = 20,080,001,780.58
  5. Step 5: Solve for x
    x = 20,080,001,780.58/164,113.88
  6. Step 6: Final answer
    x = 122,354.08

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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.