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Finding the Fourth Proportional to 214,261.50, 295,596.74 and 137,768.45

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Solution

The fourth proportional to 214,261.50, 295,596.74 and 137,768.45 is: 190,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,261.50 : 295,596.74 = 137,768.45 : x
  2. Step 2: Convert to fraction form
    214,261.50/295,596.74 = 137,768.45/x
  3. Step 3: Cross multiply
    214,261.50x = 295,596.74 × 137,768.45
  4. Step 4: Simplify right side
    214,261.50x = 40,723,903,561.29
  5. Step 5: Solve for x
    x = 40,723,903,561.29/214,261.50
  6. Step 6: Final answer
    x = 190,066.36

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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.