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Finding the Fourth Proportional to 242,036.61, 333,660.38 and 160,227.78

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Solution

The fourth proportional to 242,036.61, 333,660.38 and 160,227.78 is: 220,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,036.61 : 333,660.38 = 160,227.78 : x
  2. Step 2: Convert to fraction form
    242,036.61/333,660.38 = 160,227.78/x
  3. Step 3: Cross multiply
    242,036.61x = 333,660.38 × 160,227.78
  4. Step 4: Simplify right side
    242,036.61x = 53,461,661,160.22
  5. Step 5: Solve for x
    x = 53,461,661,160.22/242,036.61
  6. Step 6: Final answer
    x = 220,882.54

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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.