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Finding the Fourth Proportional to 209,702.72, 289,582.08 and 133,247

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Solution

The fourth proportional to 209,702.72, 289,582.08 and 133,247 is: 184,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.72 : 289,582.08 = 133,247 : x
  2. Step 2: Convert to fraction form
    209,702.72/289,582.08 = 133,247/x
  3. Step 3: Cross multiply
    209,702.72x = 289,582.08 × 133,247
  4. Step 4: Simplify right side
    209,702.72x = 38,585,943,413.76
  5. Step 5: Solve for x
    x = 38,585,943,413.76/209,702.72
  6. Step 6: Final answer
    x = 184,003.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.