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Finding the Fourth Proportional to 283,415.54, 391,131.11 and 156,091.10

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Solution

The fourth proportional to 283,415.54, 391,131.11 and 156,091.10 is: 215,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,415.54 : 391,131.11 = 156,091.10 : x
  2. Step 2: Convert to fraction form
    283,415.54/391,131.11 = 156,091.10/x
  3. Step 3: Cross multiply
    283,415.54x = 391,131.11 × 156,091.10
  4. Step 4: Simplify right side
    283,415.54x = 61,052,083,638.69
  5. Step 5: Solve for x
    x = 61,052,083,638.69/283,415.54
  6. Step 6: Final answer
    x = 215,415.45

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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.