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Finding the Fourth Proportional to 214,934.70, 296,617.06 and 119,445.42

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Solution

The fourth proportional to 214,934.70, 296,617.06 and 119,445.42 is: 164,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,934.70 : 296,617.06 = 119,445.42 : x
  2. Step 2: Convert to fraction form
    214,934.70/296,617.06 = 119,445.42/x
  3. Step 3: Cross multiply
    214,934.70x = 296,617.06 × 119,445.42
  4. Step 4: Simplify right side
    214,934.70x = 35,429,549,310.87
  5. Step 5: Solve for x
    x = 35,429,549,310.87/214,934.70
  6. Step 6: Final answer
    x = 164,838.67

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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.