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Finding the Fourth Proportional to 202,438.40, 303,657.60 and 77,782.40

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Solution

The fourth proportional to 202,438.40, 303,657.60 and 77,782.40 is: 116,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.40 : 303,657.60 = 77,782.40 : x
  2. Step 2: Convert to fraction form
    202,438.40/303,657.60 = 77,782.40/x
  3. Step 3: Cross multiply
    202,438.40x = 303,657.60 × 77,782.40
  4. Step 4: Simplify right side
    202,438.40x = 23,619,216,906.24
  5. Step 5: Solve for x
    x = 23,619,216,906.24/202,438.40
  6. Step 6: Final answer
    x = 116,673.60

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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.