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Finding the Fourth Proportional to 102,924.10, 154,386.15 and 71,431.30

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Solution

The fourth proportional to 102,924.10, 154,386.15 and 71,431.30 is: 107,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,924.10 : 154,386.15 = 71,431.30 : x
  2. Step 2: Convert to fraction form
    102,924.10/154,386.15 = 71,431.30/x
  3. Step 3: Cross multiply
    102,924.10x = 154,386.15 × 71,431.30
  4. Step 4: Simplify right side
    102,924.10x = 11,028,003,396.50
  5. Step 5: Solve for x
    x = 11,028,003,396.50/102,924.10
  6. Step 6: Final answer
    x = 107,146.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.