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Finding the Fourth Proportional to 268,803.06, 370,824.12 and 161,186.46

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Solution

The fourth proportional to 268,803.06, 370,824.12 and 161,186.46 is: 222,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,803.06 : 370,824.12 = 161,186.46 : x
  2. Step 2: Convert to fraction form
    268,803.06/370,824.12 = 161,186.46/x
  3. Step 3: Cross multiply
    268,803.06x = 370,824.12 × 161,186.46
  4. Step 4: Simplify right side
    268,803.06x = 59,771,827,185.42
  5. Step 5: Solve for x
    x = 59,771,827,185.42/268,803.06
  6. Step 6: Final answer
    x = 222,362.90

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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.