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Finding the Fourth Proportional to 239,054.42, 357,823.17 and 133,553.54

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Solution

The fourth proportional to 239,054.42, 357,823.17 and 133,553.54 is: 199,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,054.42 : 357,823.17 = 133,553.54 : x
  2. Step 2: Convert to fraction form
    239,054.42/357,823.17 = 133,553.54/x
  3. Step 3: Cross multiply
    239,054.42x = 357,823.17 × 133,553.54
  4. Step 4: Simplify right side
    239,054.42x = 47,788,551,047.52
  5. Step 5: Solve for x
    x = 47,788,551,047.52/239,054.42
  6. Step 6: Final answer
    x = 199,906.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.