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Finding the Fourth Proportional to 209,357.42, 314,159.13 and 76,245.66

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Solution

The fourth proportional to 209,357.42, 314,159.13 and 76,245.66 is: 114,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,357.42 : 314,159.13 = 76,245.66 : x
  2. Step 2: Convert to fraction form
    209,357.42/314,159.13 = 76,245.66/x
  3. Step 3: Cross multiply
    209,357.42x = 314,159.13 × 76,245.66
  4. Step 4: Simplify right side
    209,357.42x = 23,953,270,211.88
  5. Step 5: Solve for x
    x = 23,953,270,211.88/209,357.42
  6. Step 6: Final answer
    x = 114,413.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.