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Finding the Fourth Proportional to 100,265.39, 150,411.43 and 46,950.09

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Solution

The fourth proportional to 100,265.39, 150,411.43 and 46,950.09 is: 70,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.39 : 150,411.43 = 46,950.09 : x
  2. Step 2: Convert to fraction form
    100,265.39/150,411.43 = 46,950.09/x
  3. Step 3: Cross multiply
    100,265.39x = 150,411.43 × 46,950.09
  4. Step 4: Simplify right side
    100,265.39x = 7,061,830,175.53
  5. Step 5: Solve for x
    x = 7,061,830,175.53/100,265.39
  6. Step 6: Final answer
    x = 70,431.38

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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.