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Finding the Fourth Proportional to 214,755.42, 296,362.71 and 119,262.30

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Solution

The fourth proportional to 214,755.42, 296,362.71 and 119,262.30 is: 164,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,755.42 : 296,362.71 = 119,262.30 : x
  2. Step 2: Convert to fraction form
    214,755.42/296,362.71 = 119,262.30/x
  3. Step 3: Cross multiply
    214,755.42x = 296,362.71 × 119,262.30
  4. Step 4: Simplify right side
    214,755.42x = 35,344,898,428.83
  5. Step 5: Solve for x
    x = 35,344,898,428.83/214,755.42
  6. Step 6: Final answer
    x = 164,582.10

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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.