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Finding the Fourth Proportional to 214,608.83, 296,186.42 and 119,146.28

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Solution

The fourth proportional to 214,608.83, 296,186.42 and 119,146.28 is: 164,436.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,608.83 : 296,186.42 = 119,146.28 : x
  2. Step 2: Convert to fraction form
    214,608.83/296,186.42 = 119,146.28/x
  3. Step 3: Cross multiply
    214,608.83x = 296,186.42 × 119,146.28
  4. Step 4: Simplify right side
    214,608.83x = 35,289,508,946.45
  5. Step 5: Solve for x
    x = 35,289,508,946.45/214,608.83
  6. Step 6: Final answer
    x = 164,436.43

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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.