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Finding the Fourth Proportional to 202,319.40, 303,138.90 and 160,037.40

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Solution

The fourth proportional to 202,319.40, 303,138.90 and 160,037.40 is: 239,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,319.40 : 303,138.90 = 160,037.40 : x
  2. Step 2: Convert to fraction form
    202,319.40/303,138.90 = 160,037.40/x
  3. Step 3: Cross multiply
    202,319.40x = 303,138.90 × 160,037.40
  4. Step 4: Simplify right side
    202,319.40x = 48,513,561,394.86
  5. Step 5: Solve for x
    x = 48,513,561,394.86/202,319.40
  6. Step 6: Final answer
    x = 239,787.00

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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.