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Finding the Fourth Proportional to 256,524.83, 353,999.04 and 141,808.30

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Solution

The fourth proportional to 256,524.83, 353,999.04 and 141,808.30 is: 195,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,524.83 : 353,999.04 = 141,808.30 : x
  2. Step 2: Convert to fraction form
    256,524.83/353,999.04 = 141,808.30/x
  3. Step 3: Cross multiply
    256,524.83x = 353,999.04 × 141,808.30
  4. Step 4: Simplify right side
    256,524.83x = 50,200,003,038.31
  5. Step 5: Solve for x
    x = 50,200,003,038.31/256,524.83
  6. Step 6: Final answer
    x = 195,692.57

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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.