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Finding the Fourth Proportional to 157,027.85, 216,692.15 and 85,407.92

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Solution

The fourth proportional to 157,027.85, 216,692.15 and 85,407.92 is: 117,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,027.85 : 216,692.15 = 85,407.92 : x
  2. Step 2: Convert to fraction form
    157,027.85/216,692.15 = 85,407.92/x
  3. Step 3: Cross multiply
    157,027.85x = 216,692.15 × 85,407.92
  4. Step 4: Simplify right side
    157,027.85x = 18,507,224,301.33
  5. Step 5: Solve for x
    x = 18,507,224,301.33/157,027.85
  6. Step 6: Final answer
    x = 117,859.51

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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.