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Finding the Fourth Proportional to 214,496.94, 296,041.20 and 119,034.39

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Solution

The fourth proportional to 214,496.94, 296,041.20 and 119,034.39 is: 164,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,496.94 : 296,041.20 = 119,034.39 : x
  2. Step 2: Convert to fraction form
    214,496.94/296,041.20 = 119,034.39/x
  3. Step 3: Cross multiply
    214,496.94x = 296,041.20 × 119,034.39
  4. Step 4: Simplify right side
    214,496.94x = 35,239,083,656.87
  5. Step 5: Solve for x
    x = 35,239,083,656.87/214,496.94
  6. Step 6: Final answer
    x = 164,287.12

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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.