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Finding the Fourth Proportional to 214,970.75, 296,657.49 and 119,475.39

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Solution

The fourth proportional to 214,970.75, 296,657.49 and 119,475.39 is: 164,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,970.75 : 296,657.49 = 119,475.39 : x
  2. Step 2: Convert to fraction form
    214,970.75/296,657.49 = 119,475.39/x
  3. Step 3: Cross multiply
    214,970.75x = 296,657.49 × 119,475.39
  4. Step 4: Simplify right side
    214,970.75x = 35,443,268,716.79
  5. Step 5: Solve for x
    x = 35,443,268,716.79/214,970.75
  6. Step 6: Final answer
    x = 164,874.85

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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.