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Finding the Fourth Proportional to 214,395.82, 295,818.56 and 123,732.58

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Solution

The fourth proportional to 214,395.82, 295,818.56 and 123,732.58 is: 170,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,395.82 : 295,818.56 = 123,732.58 : x
  2. Step 2: Convert to fraction form
    214,395.82/295,818.56 = 123,732.58/x
  3. Step 3: Cross multiply
    214,395.82x = 295,818.56 × 123,732.58
  4. Step 4: Simplify right side
    214,395.82x = 36,602,393,640.68
  5. Step 5: Solve for x
    x = 36,602,393,640.68/214,395.82
  6. Step 6: Final answer
    x = 170,723.45

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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.