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Finding the Fourth Proportional to 100,297.34, 150,362.63 and 46,963.09

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Solution

The fourth proportional to 100,297.34, 150,362.63 and 46,963.09 is: 70,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.34 : 150,362.63 = 46,963.09 : x
  2. Step 2: Convert to fraction form
    100,297.34/150,362.63 = 46,963.09/x
  3. Step 3: Cross multiply
    100,297.34x = 150,362.63 × 46,963.09
  4. Step 4: Simplify right side
    100,297.34x = 7,061,493,854.58
  5. Step 5: Solve for x
    x = 7,061,493,854.58/100,297.34
  6. Step 6: Final answer
    x = 70,405.60

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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.