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Finding the Fourth Proportional to 214,599.84, 296,184.43 and 123,939.51

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Solution

The fourth proportional to 214,599.84, 296,184.43 and 123,939.51 is: 171,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,599.84 : 296,184.43 = 123,939.51 : x
  2. Step 2: Convert to fraction form
    214,599.84/296,184.43 = 123,939.51/x
  3. Step 3: Cross multiply
    214,599.84x = 296,184.43 × 123,939.51
  4. Step 4: Simplify right side
    214,599.84x = 36,708,953,123.83
  5. Step 5: Solve for x
    x = 36,708,953,123.83/214,599.84
  6. Step 6: Final answer
    x = 171,057.69

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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.