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Finding the Fourth Proportional to 214,364.53, 295,754.97 and 123,708.52

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Solution

The fourth proportional to 214,364.53, 295,754.97 and 123,708.52 is: 170,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,364.53 : 295,754.97 = 123,708.52 : x
  2. Step 2: Convert to fraction form
    214,364.53/295,754.97 = 123,708.52/x
  3. Step 3: Cross multiply
    214,364.53x = 295,754.97 × 123,708.52
  4. Step 4: Simplify right side
    214,364.53x = 36,587,409,621.34
  5. Step 5: Solve for x
    x = 36,587,409,621.34/214,364.53
  6. Step 6: Final answer
    x = 170,678.47

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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.