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Finding the Fourth Proportional to 214,523.34, 296,048.87 and 119,038.92

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Solution

The fourth proportional to 214,523.34, 296,048.87 and 119,038.92 is: 164,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,523.34 : 296,048.87 = 119,038.92 : x
  2. Step 2: Convert to fraction form
    214,523.34/296,048.87 = 119,038.92/x
  3. Step 3: Cross multiply
    214,523.34x = 296,048.87 × 119,038.92
  4. Step 4: Simplify right side
    214,523.34x = 35,241,337,162.63
  5. Step 5: Solve for x
    x = 35,241,337,162.63/214,523.34
  6. Step 6: Final answer
    x = 164,277.41

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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.