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Finding the Fourth Proportional to 214,526.84, 296,064 and 119,052.12

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Solution

The fourth proportional to 214,526.84, 296,064 and 119,052.12 is: 164,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,526.84 : 296,064 = 119,052.12 : x
  2. Step 2: Convert to fraction form
    214,526.84/296,064 = 119,052.12/x
  3. Step 3: Cross multiply
    214,526.84x = 296,064 × 119,052.12
  4. Step 4: Simplify right side
    214,526.84x = 35,247,046,855.68
  5. Step 5: Solve for x
    x = 35,247,046,855.68/214,526.84
  6. Step 6: Final answer
    x = 164,301.34

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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.