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Finding the Fourth Proportional to 214,758.46, 296,370.69 and 119,274.10

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Solution

The fourth proportional to 214,758.46, 296,370.69 and 119,274.10 is: 164,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758.46 : 296,370.69 = 119,274.10 : x
  2. Step 2: Convert to fraction form
    214,758.46/296,370.69 = 119,274.10/x
  3. Step 3: Cross multiply
    214,758.46x = 296,370.69 × 119,274.10
  4. Step 4: Simplify right side
    214,758.46x = 35,349,347,316.13
  5. Step 5: Solve for x
    x = 35,349,347,316.13/214,758.46
  6. Step 6: Final answer
    x = 164,600.49

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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.