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Finding the Fourth Proportional to 202,314.60, 303,471.90 and 97,338.60

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Solution

The fourth proportional to 202,314.60, 303,471.90 and 97,338.60 is: 146,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,314.60 : 303,471.90 = 97,338.60 : x
  2. Step 2: Convert to fraction form
    202,314.60/303,471.90 = 97,338.60/x
  3. Step 3: Cross multiply
    202,314.60x = 303,471.90 × 97,338.60
  4. Step 4: Simplify right side
    202,314.60x = 29,539,529,885.34
  5. Step 5: Solve for x
    x = 29,539,529,885.34/202,314.60
  6. Step 6: Final answer
    x = 146,007.90

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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.