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Finding the Fourth Proportional to 207,413.20, 310,774.20 and 194,971.60

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Solution

The fourth proportional to 207,413.20, 310,774.20 and 194,971.60 is: 292,132.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,413.20 : 310,774.20 = 194,971.60 : x
  2. Step 2: Convert to fraction form
    207,413.20/310,774.20 = 194,971.60/x
  3. Step 3: Cross multiply
    207,413.20x = 310,774.20 × 194,971.60
  4. Step 4: Simplify right side
    207,413.20x = 60,592,143,012.72
  5. Step 5: Solve for x
    x = 60,592,143,012.72/207,413.20
  6. Step 6: Final answer
    x = 292,132.53

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1.5x scale

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.