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Finding the Fourth Proportional to 212,343.41, 293,046 and 121,714.45

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Solution

The fourth proportional to 212,343.41, 293,046 and 121,714.45 is: 167,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,343.41 : 293,046 = 121,714.45 : x
  2. Step 2: Convert to fraction form
    212,343.41/293,046 = 121,714.45/x
  3. Step 3: Cross multiply
    212,343.41x = 293,046 × 121,714.45
  4. Step 4: Simplify right side
    212,343.41x = 35,667,931,249.47
  5. Step 5: Solve for x
    x = 35,667,931,249.47/212,343.41
  6. Step 6: Final answer
    x = 167,972.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.