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Finding the Fourth Proportional to 252,150, 377,969.76 and 163,459.80

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Solution

The fourth proportional to 252,150, 377,969.76 and 163,459.80 is: 245,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,150 : 377,969.76 = 163,459.80 : x
  2. Step 2: Convert to fraction form
    252,150/377,969.76 = 163,459.80/x
  3. Step 3: Cross multiply
    252,150x = 377,969.76 × 163,459.80
  4. Step 4: Simplify right side
    252,150x = 61,782,861,375.65
  5. Step 5: Solve for x
    x = 61,782,861,375.65/252,150
  6. Step 6: Final answer
    x = 245,024.24

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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.