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Finding the Fourth Proportional to 357,257.10, 535,626.45 and 146,786.70

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Solution

The fourth proportional to 357,257.10, 535,626.45 and 146,786.70 is: 220,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,257.10 : 535,626.45 = 146,786.70 : x
  2. Step 2: Convert to fraction form
    357,257.10/535,626.45 = 146,786.70/x
  3. Step 3: Cross multiply
    357,257.10x = 535,626.45 × 146,786.70
  4. Step 4: Simplify right side
    357,257.10x = 78,622,839,028.22
  5. Step 5: Solve for x
    x = 78,622,839,028.22/357,257.10
  6. Step 6: Final answer
    x = 220,073.55

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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.