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Finding the Fourth Proportional to 212,393.77, 293,069.82 and 121,732.27

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Solution

The fourth proportional to 212,393.77, 293,069.82 and 121,732.27 is: 167,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,393.77 : 293,069.82 = 121,732.27 : x
  2. Step 2: Convert to fraction form
    212,393.77/293,069.82 = 121,732.27/x
  3. Step 3: Cross multiply
    212,393.77x = 293,069.82 × 121,732.27
  4. Step 4: Simplify right side
    212,393.77x = 35,676,054,457.09
  5. Step 5: Solve for x
    x = 35,676,054,457.09/212,393.77
  6. Step 6: Final answer
    x = 167,971.28

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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.