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Finding the Fourth Proportional to 146,475.40, 219,713.10 and 84,267.40

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Solution

The fourth proportional to 146,475.40, 219,713.10 and 84,267.40 is: 126,401.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,475.40 : 219,713.10 = 84,267.40 : x
  2. Step 2: Convert to fraction form
    146,475.40/219,713.10 = 84,267.40/x
  3. Step 3: Cross multiply
    146,475.40x = 219,713.10 × 84,267.40
  4. Step 4: Simplify right side
    146,475.40x = 18,514,651,682.94
  5. Step 5: Solve for x
    x = 18,514,651,682.94/146,475.40
  6. Step 6: Final answer
    x = 126,401.10

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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.