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Finding the Fourth Proportional to 214,759.42, 296,368.23 and 119,266.30

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Solution

The fourth proportional to 214,759.42, 296,368.23 and 119,266.30 is: 164,587.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,759.42 : 296,368.23 = 119,266.30 : x
  2. Step 2: Convert to fraction form
    214,759.42/296,368.23 = 119,266.30/x
  3. Step 3: Cross multiply
    214,759.42x = 296,368.23 × 119,266.30
  4. Step 4: Simplify right side
    214,759.42x = 35,346,742,229.65
  5. Step 5: Solve for x
    x = 35,346,742,229.65/214,759.42
  6. Step 6: Final answer
    x = 164,587.62

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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.