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Finding the Fourth Proportional to 270,182.84, 404,942.06 and 151,605.05

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Solution

The fourth proportional to 270,182.84, 404,942.06 and 151,605.05 is: 227,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,182.84 : 404,942.06 = 151,605.05 : x
  2. Step 2: Convert to fraction form
    270,182.84/404,942.06 = 151,605.05/x
  3. Step 3: Cross multiply
    270,182.84x = 404,942.06 × 151,605.05
  4. Step 4: Simplify right side
    270,182.84x = 61,391,258,470.67
  5. Step 5: Solve for x
    x = 61,391,258,470.67/270,182.84
  6. Step 6: Final answer
    x = 227,221.16

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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.