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Finding the Fourth Proportional to 214,387.48, 295,850.16 and 118,892.12

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Solution

The fourth proportional to 214,387.48, 295,850.16 and 118,892.12 is: 164,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,387.48 : 295,850.16 = 118,892.12 : x
  2. Step 2: Convert to fraction form
    214,387.48/295,850.16 = 118,892.12/x
  3. Step 3: Cross multiply
    214,387.48x = 295,850.16 × 118,892.12
  4. Step 4: Simplify right side
    214,387.48x = 35,174,252,724.74
  5. Step 5: Solve for x
    x = 35,174,252,724.74/214,387.48
  6. Step 6: Final answer
    x = 164,068.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.