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Finding the Fourth Proportional to 214,798.96, 296,414.32 and 119,311.76

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Solution

The fourth proportional to 214,798.96, 296,414.32 and 119,311.76 is: 164,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,798.96 : 296,414.32 = 119,311.76 : x
  2. Step 2: Convert to fraction form
    214,798.96/296,414.32 = 119,311.76/x
  3. Step 3: Cross multiply
    214,798.96x = 296,414.32 × 119,311.76
  4. Step 4: Simplify right side
    214,798.96x = 35,365,714,208.40
  5. Step 5: Solve for x
    x = 35,365,714,208.40/214,798.96
  6. Step 6: Final answer
    x = 164,645.65

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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.