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Finding the Fourth Proportional to 100,264.39, 150,409.93 and 46,949.09

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Solution

The fourth proportional to 100,264.39, 150,409.93 and 46,949.09 is: 70,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.39 : 150,409.93 = 46,949.09 : x
  2. Step 2: Convert to fraction form
    100,264.39/150,409.93 = 46,949.09/x
  3. Step 3: Cross multiply
    100,264.39x = 150,409.93 × 46,949.09
  4. Step 4: Simplify right side
    100,264.39x = 7,061,609,630.09
  5. Step 5: Solve for x
    x = 7,061,609,630.09/100,264.39
  6. Step 6: Final answer
    x = 70,429.88

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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.