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Finding the Fourth Proportional to 154,114.29, 212,676.06 and 85,203.45

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Solution

The fourth proportional to 154,114.29, 212,676.06 and 85,203.45 is: 117,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,114.29 : 212,676.06 = 85,203.45 : x
  2. Step 2: Convert to fraction form
    154,114.29/212,676.06 = 85,203.45/x
  3. Step 3: Cross multiply
    154,114.29x = 212,676.06 × 85,203.45
  4. Step 4: Simplify right side
    154,114.29x = 18,120,734,044.41
  5. Step 5: Solve for x
    x = 18,120,734,044.41/154,114.29
  6. Step 6: Final answer
    x = 117,579.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.