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Finding the Fourth Proportional to 214,841.68, 296,471.46 and 119,354.20

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Solution

The fourth proportional to 214,841.68, 296,471.46 and 119,354.20 is: 164,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,841.68 : 296,471.46 = 119,354.20 : x
  2. Step 2: Convert to fraction form
    214,841.68/296,471.46 = 119,354.20/x
  3. Step 3: Cross multiply
    214,841.68x = 296,471.46 × 119,354.20
  4. Step 4: Simplify right side
    214,841.68x = 35,385,113,931.13
  5. Step 5: Solve for x
    x = 35,385,113,931.13/214,841.68
  6. Step 6: Final answer
    x = 164,703.21

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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.