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Finding the Fourth Proportional to 180,224.31, 248,692.02 and 99,640.82

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Solution

The fourth proportional to 180,224.31, 248,692.02 and 99,640.82 is: 137,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,224.31 : 248,692.02 = 99,640.82 : x
  2. Step 2: Convert to fraction form
    180,224.31/248,692.02 = 99,640.82/x
  3. Step 3: Cross multiply
    180,224.31x = 248,692.02 × 99,640.82
  4. Step 4: Simplify right side
    180,224.31x = 24,779,875,556.80
  5. Step 5: Solve for x
    x = 24,779,875,556.80/180,224.31
  6. Step 6: Final answer
    x = 137,494.63

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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.