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Finding the Fourth Proportional to 202,385.60, 303,664.80 and 97,150.40

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Solution

The fourth proportional to 202,385.60, 303,664.80 and 97,150.40 is: 145,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,385.60 : 303,664.80 = 97,150.40 : x
  2. Step 2: Convert to fraction form
    202,385.60/303,664.80 = 97,150.40/x
  3. Step 3: Cross multiply
    202,385.60x = 303,664.80 × 97,150.40
  4. Step 4: Simplify right side
    202,385.60x = 29,501,156,785.92
  5. Step 5: Solve for x
    x = 29,501,156,785.92/202,385.60
  6. Step 6: Final answer
    x = 145,767.07

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1.5x scale

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.