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Finding the Fourth Proportional to 214,642.60, 296,191.98 and 119,141.78

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Solution

The fourth proportional to 214,642.60, 296,191.98 and 119,141.78 is: 164,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.60 : 296,191.98 = 119,141.78 : x
  2. Step 2: Convert to fraction form
    214,642.60/296,191.98 = 119,141.78/x
  3. Step 3: Cross multiply
    214,642.60x = 296,191.98 × 119,141.78
  4. Step 4: Simplify right side
    214,642.60x = 35,288,839,718.92
  5. Step 5: Solve for x
    x = 35,288,839,718.92/214,642.60
  6. Step 6: Final answer
    x = 164,407.44

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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.