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Finding the Fourth Proportional to 202,232.40, 302,830.20 and 149,355.60

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Solution

The fourth proportional to 202,232.40, 302,830.20 and 149,355.60 is: 223,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232.40 : 302,830.20 = 149,355.60 : x
  2. Step 2: Convert to fraction form
    202,232.40/302,830.20 = 149,355.60/x
  3. Step 3: Cross multiply
    202,232.40x = 302,830.20 × 149,355.60
  4. Step 4: Simplify right side
    202,232.40x = 45,229,386,219.12
  5. Step 5: Solve for x
    x = 45,229,386,219.12/202,232.40
  6. Step 6: Final answer
    x = 223,650.54

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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.