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Finding the Fourth Proportional to 194,413.80, 291,927.90 and 142,189.80

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Solution

The fourth proportional to 194,413.80, 291,927.90 and 142,189.80 is: 213,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,413.80 : 291,927.90 = 142,189.80 : x
  2. Step 2: Convert to fraction form
    194,413.80/291,927.90 = 142,189.80/x
  3. Step 3: Cross multiply
    194,413.80x = 291,927.90 × 142,189.80
  4. Step 4: Simplify right side
    194,413.80x = 41,509,169,715.42
  5. Step 5: Solve for x
    x = 41,509,169,715.42/194,413.80
  6. Step 6: Final answer
    x = 213,509.38

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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.