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Finding the Fourth Proportional to 202,050.20, 302,880.90 and 157,046.60

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Solution

The fourth proportional to 202,050.20, 302,880.90 and 157,046.60 is: 235,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,050.20 : 302,880.90 = 157,046.60 : x
  2. Step 2: Convert to fraction form
    202,050.20/302,880.90 = 157,046.60/x
  3. Step 3: Cross multiply
    202,050.20x = 302,880.90 × 157,046.60
  4. Step 4: Simplify right side
    202,050.20x = 47,566,415,549.94
  5. Step 5: Solve for x
    x = 47,566,415,549.94/202,050.20
  6. Step 6: Final answer
    x = 235,418.80

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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.