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Finding the Fourth Proportional to 214,456.30, 295,925.82 and 118,939.06

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Solution

The fourth proportional to 214,456.30, 295,925.82 and 118,939.06 is: 164,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,456.30 : 295,925.82 = 118,939.06 : x
  2. Step 2: Convert to fraction form
    214,456.30/295,925.82 = 118,939.06/x
  3. Step 3: Cross multiply
    214,456.30x = 295,925.82 × 118,939.06
  4. Step 4: Simplify right side
    214,456.30x = 35,197,138,860.53
  5. Step 5: Solve for x
    x = 35,197,138,860.53/214,456.30
  6. Step 6: Final answer
    x = 164,122.66

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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.