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Finding the Fourth Proportional to 205,584, 306,717.47 and 183,145.38

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Solution

The fourth proportional to 205,584, 306,717.47 and 183,145.38 is: 273,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584 : 306,717.47 = 183,145.38 : x
  2. Step 2: Convert to fraction form
    205,584/306,717.47 = 183,145.38/x
  3. Step 3: Cross multiply
    205,584x = 306,717.47 × 183,145.38
  4. Step 4: Simplify right side
    205,584x = 56,173,886,680.06
  5. Step 5: Solve for x
    x = 56,173,886,680.06/205,584
  6. Step 6: Final answer
    x = 273,240.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.