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Finding the Fourth Proportional to 214,798.39, 296,421.78 and 119,313.97

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Solution

The fourth proportional to 214,798.39, 296,421.78 and 119,313.97 is: 164,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,798.39 : 296,421.78 = 119,313.97 : x
  2. Step 2: Convert to fraction form
    214,798.39/296,421.78 = 119,313.97/x
  3. Step 3: Cross multiply
    214,798.39x = 296,421.78 × 119,313.97
  4. Step 4: Simplify right side
    214,798.39x = 35,367,259,366.27
  5. Step 5: Solve for x
    x = 35,367,259,366.27/214,798.39
  6. Step 6: Final answer
    x = 164,653.28

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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.