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Finding the Fourth Proportional to 102,894.30, 154,111.05 and 84,462.30

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Solution

The fourth proportional to 102,894.30, 154,111.05 and 84,462.30 is: 126,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894.30 : 154,111.05 = 84,462.30 : x
  2. Step 2: Convert to fraction form
    102,894.30/154,111.05 = 84,462.30/x
  3. Step 3: Cross multiply
    102,894.30x = 154,111.05 × 84,462.30
  4. Step 4: Simplify right side
    102,894.30x = 13,016,573,738.42
  5. Step 5: Solve for x
    x = 13,016,573,738.42/102,894.30
  6. Step 6: Final answer
    x = 126,504.32

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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.