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Finding the Fourth Proportional to 214,123.96, 295,357.39 and 137,742.63

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Solution

The fourth proportional to 214,123.96, 295,357.39 and 137,742.63 is: 189,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,123.96 : 295,357.39 = 137,742.63 : x
  2. Step 2: Convert to fraction form
    214,123.96/295,357.39 = 137,742.63/x
  3. Step 3: Cross multiply
    214,123.96x = 295,357.39 × 137,742.63
  4. Step 4: Simplify right side
    214,123.96x = 40,683,302,236.59
  5. Step 5: Solve for x
    x = 40,683,302,236.59/214,123.96
  6. Step 6: Final answer
    x = 189,998.84

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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.