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Finding the Fourth Proportional to 164,920, 227,498.88 and 117,244.48

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Solution

The fourth proportional to 164,920, 227,498.88 and 117,244.48 is: 161,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,920 : 227,498.88 = 117,244.48 : x
  2. Step 2: Convert to fraction form
    164,920/227,498.88 = 117,244.48/x
  3. Step 3: Cross multiply
    164,920x = 227,498.88 × 117,244.48
  4. Step 4: Simplify right side
    164,920x = 26,672,987,886.18
  5. Step 5: Solve for x
    x = 26,672,987,886.18/164,920
  6. Step 6: Final answer
    x = 161,732.89

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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.