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Finding the Fourth Proportional to 214,522.84, 296,058.48 and 119,048.12

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Solution

The fourth proportional to 214,522.84, 296,058.48 and 119,048.12 is: 164,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522.84 : 296,058.48 = 119,048.12 : x
  2. Step 2: Convert to fraction form
    214,522.84/296,058.48 = 119,048.12/x
  3. Step 3: Cross multiply
    214,522.84x = 296,058.48 × 119,048.12
  4. Step 4: Simplify right side
    214,522.84x = 35,245,205,454.06
  5. Step 5: Solve for x
    x = 35,245,205,454.06/214,522.84
  6. Step 6: Final answer
    x = 164,295.82

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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.