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Finding the Fourth Proportional to 146,302.25, 219,453.47 and 35,494.25

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Solution

The fourth proportional to 146,302.25, 219,453.47 and 35,494.25 is: 53,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,302.25 : 219,453.47 = 35,494.25 : x
  2. Step 2: Convert to fraction form
    146,302.25/219,453.47 = 35,494.25/x
  3. Step 3: Cross multiply
    146,302.25x = 219,453.47 × 35,494.25
  4. Step 4: Simplify right side
    146,302.25x = 7,789,336,150.08
  5. Step 5: Solve for x
    x = 7,789,336,150.08/146,302.25
  6. Step 6: Final answer
    x = 53,241.40

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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.