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Finding the Fourth Proportional to 214,693.74, 296,278.02 and 119,200.68

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Solution

The fourth proportional to 214,693.74, 296,278.02 and 119,200.68 is: 164,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,693.74 : 296,278.02 = 119,200.68 : x
  2. Step 2: Convert to fraction form
    214,693.74/296,278.02 = 119,200.68/x
  3. Step 3: Cross multiply
    214,693.74x = 296,278.02 × 119,200.68
  4. Step 4: Simplify right side
    214,693.74x = 35,316,541,453.05
  5. Step 5: Solve for x
    x = 35,316,541,453.05/214,693.74
  6. Step 6: Final answer
    x = 164,497.30

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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.