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Finding the Fourth Proportional to 214,758.42, 296,366.85 and 119,265.30

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Solution

The fourth proportional to 214,758.42, 296,366.85 and 119,265.30 is: 164,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,758.42 : 296,366.85 = 119,265.30 : x
  2. Step 2: Convert to fraction form
    214,758.42/296,366.85 = 119,265.30/x
  3. Step 3: Cross multiply
    214,758.42x = 296,366.85 × 119,265.30
  4. Step 4: Simplify right side
    214,758.42x = 35,346,281,275.31
  5. Step 5: Solve for x
    x = 35,346,281,275.31/214,758.42
  6. Step 6: Final answer
    x = 164,586.24

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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.