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Finding the Fourth Proportional to 214,434.96, 295,921.68 and 118,943.28

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Solution

The fourth proportional to 214,434.96, 295,921.68 and 118,943.28 is: 164,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,434.96 : 295,921.68 = 118,943.28 : x
  2. Step 2: Convert to fraction form
    214,434.96/295,921.68 = 118,943.28/x
  3. Step 3: Cross multiply
    214,434.96x = 295,921.68 × 118,943.28
  4. Step 4: Simplify right side
    214,434.96x = 35,197,895,242.31
  5. Step 5: Solve for x
    x = 35,197,895,242.31/214,434.96
  6. Step 6: Final answer
    x = 164,142.52

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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.