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Finding the Fourth Proportional to 214,920.33, 296,593.14 and 118,133.14

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Solution

The fourth proportional to 214,920.33, 296,593.14 and 118,133.14 is: 163,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920.33 : 296,593.14 = 118,133.14 : x
  2. Step 2: Convert to fraction form
    214,920.33/296,593.14 = 118,133.14/x
  3. Step 3: Cross multiply
    214,920.33x = 296,593.14 × 118,133.14
  4. Step 4: Simplify right side
    214,920.33x = 35,037,478,649.27
  5. Step 5: Solve for x
    x = 35,037,478,649.27/214,920.33
  6. Step 6: Final answer
    x = 163,025.42

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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.