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Finding the Fourth Proportional to 256,755.42, 354,299.67 and 147,830.67

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Solution

The fourth proportional to 256,755.42, 354,299.67 and 147,830.67 is: 203,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,755.42 : 354,299.67 = 147,830.67 : x
  2. Step 2: Convert to fraction form
    256,755.42/354,299.67 = 147,830.67/x
  3. Step 3: Cross multiply
    256,755.42x = 354,299.67 × 147,830.67
  4. Step 4: Simplify right side
    256,755.42x = 52,376,357,596.88
  5. Step 5: Solve for x
    x = 52,376,357,596.88/256,755.42
  6. Step 6: Final answer
    x = 203,993.19

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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.