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Finding the Fourth Proportional to 214,505.34, 296,017.40 and 119,011.80

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Solution

The fourth proportional to 214,505.34, 296,017.40 and 119,011.80 is: 164,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,505.34 : 296,017.40 = 119,011.80 : x
  2. Step 2: Convert to fraction form
    214,505.34/296,017.40 = 119,011.80/x
  3. Step 3: Cross multiply
    214,505.34x = 296,017.40 × 119,011.80
  4. Step 4: Simplify right side
    214,505.34x = 35,229,563,605.32
  5. Step 5: Solve for x
    x = 35,229,563,605.32/214,505.34
  6. Step 6: Final answer
    x = 164,236.30

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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.