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Finding the Fourth Proportional to 98,057.46, 147,100.77 and 45,472.26

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Solution

The fourth proportional to 98,057.46, 147,100.77 and 45,472.26 is: 68,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,057.46 : 147,100.77 = 45,472.26 : x
  2. Step 2: Convert to fraction form
    98,057.46/147,100.77 = 45,472.26/x
  3. Step 3: Cross multiply
    98,057.46x = 147,100.77 × 45,472.26
  4. Step 4: Simplify right side
    98,057.46x = 6,689,004,459.64
  5. Step 5: Solve for x
    x = 6,689,004,459.64/98,057.46
  6. Step 6: Final answer
    x = 68,215.15

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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.