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Finding the Fourth Proportional to 260,735.40, 359,834.52 and 146,008.21

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Solution

The fourth proportional to 260,735.40, 359,834.52 and 146,008.21 is: 201,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,735.40 : 359,834.52 = 146,008.21 : x
  2. Step 2: Convert to fraction form
    260,735.40/359,834.52 = 146,008.21/x
  3. Step 3: Cross multiply
    260,735.40x = 359,834.52 × 146,008.21
  4. Step 4: Simplify right side
    260,735.40x = 52,538,794,161.41
  5. Step 5: Solve for x
    x = 52,538,794,161.41/260,735.40
  6. Step 6: Final answer
    x = 201,502.34

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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.