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Finding the Fourth Proportional to 206,852.40, 310,570.20 and 128,120.40

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Solution

The fourth proportional to 206,852.40, 310,570.20 and 128,120.40 is: 192,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.40 : 310,570.20 = 128,120.40 : x
  2. Step 2: Convert to fraction form
    206,852.40/310,570.20 = 128,120.40/x
  3. Step 3: Cross multiply
    206,852.40x = 310,570.20 × 128,120.40
  4. Step 4: Simplify right side
    206,852.40x = 39,790,378,252.08
  5. Step 5: Solve for x
    x = 39,790,378,252.08/206,852.40
  6. Step 6: Final answer
    x = 192,361.21

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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.