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Finding the Fourth Proportional to 214,792.98, 296,406.06 and 119,305.76

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Solution

The fourth proportional to 214,792.98, 296,406.06 and 119,305.76 is: 164,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,792.98 : 296,406.06 = 119,305.76 : x
  2. Step 2: Convert to fraction form
    214,792.98/296,406.06 = 119,305.76/x
  3. Step 3: Cross multiply
    214,792.98x = 296,406.06 × 119,305.76
  4. Step 4: Simplify right side
    214,792.98x = 35,362,950,256.91
  5. Step 5: Solve for x
    x = 35,362,950,256.91/214,792.98
  6. Step 6: Final answer
    x = 164,637.37

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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.