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Finding the Fourth Proportional to 202,168.70, 303,058.65 and 157,165.10

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Solution

The fourth proportional to 202,168.70, 303,058.65 and 157,165.10 is: 235,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,168.70 : 303,058.65 = 157,165.10 : x
  2. Step 2: Convert to fraction form
    202,168.70/303,058.65 = 157,165.10/x
  3. Step 3: Cross multiply
    202,168.70x = 303,058.65 × 157,165.10
  4. Step 4: Simplify right side
    202,168.70x = 47,630,243,033.12
  5. Step 5: Solve for x
    x = 47,630,243,033.12/202,168.70
  6. Step 6: Final answer
    x = 235,596.52

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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.