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Finding the Fourth Proportional to 214,549.44, 296,064 and 119,050.08

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Solution

The fourth proportional to 214,549.44, 296,064 and 119,050.08 is: 164,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,549.44 : 296,064 = 119,050.08 : x
  2. Step 2: Convert to fraction form
    214,549.44/296,064 = 119,050.08/x
  3. Step 3: Cross multiply
    214,549.44x = 296,064 × 119,050.08
  4. Step 4: Simplify right side
    214,549.44x = 35,246,442,885.12
  5. Step 5: Solve for x
    x = 35,246,442,885.12/214,549.44
  6. Step 6: Final answer
    x = 164,281.22

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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.