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Finding the Fourth Proportional to 218,710.33, 299,851.82 and 214,724.52

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Solution

The fourth proportional to 218,710.33, 299,851.82 and 214,724.52 is: 294,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710.33 : 299,851.82 = 214,724.52 : x
  2. Step 2: Convert to fraction form
    218,710.33/299,851.82 = 214,724.52/x
  3. Step 3: Cross multiply
    218,710.33x = 299,851.82 × 214,724.52
  4. Step 4: Simplify right side
    218,710.33x = 64,385,539,060.05
  5. Step 5: Solve for x
    x = 64,385,539,060.05/218,710.33
  6. Step 6: Final answer
    x = 294,387.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.