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Finding the Fourth Proportional to 205,146.71, 282,879.27 and 133,393.67

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Solution

The fourth proportional to 205,146.71, 282,879.27 and 133,393.67 is: 183,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146.71 : 282,879.27 = 133,393.67 : x
  2. Step 2: Convert to fraction form
    205,146.71/282,879.27 = 133,393.67/x
  3. Step 3: Cross multiply
    205,146.71x = 282,879.27 × 133,393.67
  4. Step 4: Simplify right side
    205,146.71x = 37,734,303,638.62
  5. Step 5: Solve for x
    x = 37,734,303,638.62/205,146.71
  6. Step 6: Final answer
    x = 183,938.14

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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.