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Finding the Fourth Proportional to 260,915.64, 360,069.42 and 146,202.84

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Solution

The fourth proportional to 260,915.64, 360,069.42 and 146,202.84 is: 201,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,915.64 : 360,069.42 = 146,202.84 : x
  2. Step 2: Convert to fraction form
    260,915.64/360,069.42 = 146,202.84/x
  3. Step 3: Cross multiply
    260,915.64x = 360,069.42 × 146,202.84
  4. Step 4: Simplify right side
    260,915.64x = 52,643,171,801.15
  5. Step 5: Solve for x
    x = 52,643,171,801.15/260,915.64
  6. Step 6: Final answer
    x = 201,763.19

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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.