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Finding the Fourth Proportional to 150,223.82, 207,296.62 and 85,692.74

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Solution

The fourth proportional to 150,223.82, 207,296.62 and 85,692.74 is: 118,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,223.82 : 207,296.62 = 85,692.74 : x
  2. Step 2: Convert to fraction form
    150,223.82/207,296.62 = 85,692.74/x
  3. Step 3: Cross multiply
    150,223.82x = 207,296.62 × 85,692.74
  4. Step 4: Simplify right side
    150,223.82x = 17,763,814,109.82
  5. Step 5: Solve for x
    x = 17,763,814,109.82/150,223.82
  6. Step 6: Final answer
    x = 118,248.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.