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Finding the Fourth Proportional to 100,291.77, 150,460.94 and 29,216.09

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Solution

The fourth proportional to 100,291.77, 150,460.94 and 29,216.09 is: 43,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.77 : 150,460.94 = 29,216.09 : x
  2. Step 2: Convert to fraction form
    100,291.77/150,460.94 = 29,216.09/x
  3. Step 3: Cross multiply
    100,291.77x = 150,460.94 × 29,216.09
  4. Step 4: Simplify right side
    100,291.77x = 4,395,880,813.72
  5. Step 5: Solve for x
    x = 4,395,880,813.72/100,291.77
  6. Step 6: Final answer
    x = 43,830.92

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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.