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Finding the Fourth Proportional to 357,272.20, 535,908.30 and 146,801.80

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Solution

The fourth proportional to 357,272.20, 535,908.30 and 146,801.80 is: 220,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,272.20 : 535,908.30 = 146,801.80 : x
  2. Step 2: Convert to fraction form
    357,272.20/535,908.30 = 146,801.80/x
  3. Step 3: Cross multiply
    357,272.20x = 535,908.30 × 146,801.80
  4. Step 4: Simplify right side
    357,272.20x = 78,672,303,074.94
  5. Step 5: Solve for x
    x = 78,672,303,074.94/357,272.20
  6. Step 6: Final answer
    x = 220,202.70

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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.