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Finding the Fourth Proportional to 214,563.68, 296,107.98 and 119,071.16

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Solution

The fourth proportional to 214,563.68, 296,107.98 and 119,071.16 is: 164,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,563.68 : 296,107.98 = 119,071.16 : x
  2. Step 2: Convert to fraction form
    214,563.68/296,107.98 = 119,071.16/x
  3. Step 3: Cross multiply
    214,563.68x = 296,107.98 × 119,071.16
  4. Step 4: Simplify right side
    214,563.68x = 35,257,920,663.86
  5. Step 5: Solve for x
    x = 35,257,920,663.86/214,563.68
  6. Step 6: Final answer
    x = 164,323.81

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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.