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Finding the Fourth Proportional to 214,459.12, 295,943.16 and 118,957.36

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Solution

The fourth proportional to 214,459.12, 295,943.16 and 118,957.36 is: 164,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,459.12 : 295,943.16 = 118,957.36 : x
  2. Step 2: Convert to fraction form
    214,459.12/295,943.16 = 118,957.36/x
  3. Step 3: Cross multiply
    214,459.12x = 295,943.16 × 118,957.36
  4. Step 4: Simplify right side
    214,459.12x = 35,204,617,023.66
  5. Step 5: Solve for x
    x = 35,204,617,023.66/214,459.12
  6. Step 6: Final answer
    x = 164,155.37

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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.