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Finding the Fourth Proportional to 356,194, 491,548.48 and 192,852.24

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Solution

The fourth proportional to 356,194, 491,548.48 and 192,852.24 is: 266,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,194 : 491,548.48 = 192,852.24 : x
  2. Step 2: Convert to fraction form
    356,194/491,548.48 = 192,852.24/x
  3. Step 3: Cross multiply
    356,194x = 491,548.48 × 192,852.24
  4. Step 4: Simplify right side
    356,194x = 94,796,225,436.60
  5. Step 5: Solve for x
    x = 94,796,225,436.60/356,194
  6. Step 6: Final answer
    x = 266,136.50

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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.