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Finding the Fourth Proportional to 101,714.40, 152,466.30 and 45,581.40

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Solution

The fourth proportional to 101,714.40, 152,466.30 and 45,581.40 is: 68,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.40 : 152,466.30 = 45,581.40 : x
  2. Step 2: Convert to fraction form
    101,714.40/152,466.30 = 45,581.40/x
  3. Step 3: Cross multiply
    101,714.40x = 152,466.30 × 45,581.40
  4. Step 4: Simplify right side
    101,714.40x = 6,949,627,406.82
  5. Step 5: Solve for x
    x = 6,949,627,406.82/101,714.40
  6. Step 6: Final answer
    x = 68,324.91

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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.