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Finding the Fourth Proportional to 202,313.40, 303,129.90 and 160,031.40

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Solution

The fourth proportional to 202,313.40, 303,129.90 and 160,031.40 is: 239,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,313.40 : 303,129.90 = 160,031.40 : x
  2. Step 2: Convert to fraction form
    202,313.40/303,129.90 = 160,031.40/x
  3. Step 3: Cross multiply
    202,313.40x = 303,129.90 × 160,031.40
  4. Step 4: Simplify right side
    202,313.40x = 48,510,302,278.86
  5. Step 5: Solve for x
    x = 48,510,302,278.86/202,313.40
  6. Step 6: Final answer
    x = 239,778.00

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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.