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Finding the Fourth Proportional to 154,883.64, 213,731.82 and 87,802.68

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Solution

The fourth proportional to 154,883.64, 213,731.82 and 87,802.68 is: 121,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,883.64 : 213,731.82 = 87,802.68 : x
  2. Step 2: Convert to fraction form
    154,883.64/213,731.82 = 87,802.68/x
  3. Step 3: Cross multiply
    154,883.64x = 213,731.82 × 87,802.68
  4. Step 4: Simplify right side
    154,883.64x = 18,766,226,597.28
  5. Step 5: Solve for x
    x = 18,766,226,597.28/154,883.64
  6. Step 6: Final answer
    x = 121,163.39

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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.