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Finding the Fourth Proportional to 214,594.72, 296,159.34 and 119,119.84

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Solution

The fourth proportional to 214,594.72, 296,159.34 and 119,119.84 is: 164,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,594.72 : 296,159.34 = 119,119.84 : x
  2. Step 2: Convert to fraction form
    214,594.72/296,159.34 = 119,119.84/x
  3. Step 3: Cross multiply
    214,594.72x = 296,159.34 × 119,119.84
  4. Step 4: Simplify right side
    214,594.72x = 35,278,453,195.31
  5. Step 5: Solve for x
    x = 35,278,453,195.31/214,594.72
  6. Step 6: Final answer
    x = 164,395.72

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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.