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Finding the Fourth Proportional to 256,108.14, 353,604.15 and 165,682.98

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Solution

The fourth proportional to 256,108.14, 353,604.15 and 165,682.98 is: 228,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,108.14 : 353,604.15 = 165,682.98 : x
  2. Step 2: Convert to fraction form
    256,108.14/353,604.15 = 165,682.98/x
  3. Step 3: Cross multiply
    256,108.14x = 353,604.15 × 165,682.98
  4. Step 4: Simplify right side
    256,108.14x = 58,586,189,312.37
  5. Step 5: Solve for x
    x = 58,586,189,312.37/256,108.14
  6. Step 6: Final answer
    x = 228,755.67

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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.