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Finding the Fourth Proportional to 195,706.25, 270,074.81 and 106,282.25

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Solution

The fourth proportional to 195,706.25, 270,074.81 and 106,282.25 is: 146,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,706.25 : 270,074.81 = 106,282.25 : x
  2. Step 2: Convert to fraction form
    195,706.25/270,074.81 = 106,282.25/x
  3. Step 3: Cross multiply
    195,706.25x = 270,074.81 × 106,282.25
  4. Step 4: Simplify right side
    195,706.25x = 28,704,157,943.71
  5. Step 5: Solve for x
    x = 28,704,157,943.71/195,706.25
  6. Step 6: Final answer
    x = 146,669.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.