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Finding the Fourth Proportional to 214,905, 296,563.04 and 119,409.24

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Solution

The fourth proportional to 214,905, 296,563.04 and 119,409.24 is: 164,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,905 : 296,563.04 = 119,409.24 : x
  2. Step 2: Convert to fraction form
    214,905/296,563.04 = 119,409.24/x
  3. Step 3: Cross multiply
    214,905x = 296,563.04 × 119,409.24
  4. Step 4: Simplify right side
    214,905x = 35,412,367,218.49
  5. Step 5: Solve for x
    x = 35,412,367,218.49/214,905
  6. Step 6: Final answer
    x = 164,781.50

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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.