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Finding the Fourth Proportional to 194,643.47, 291,950.61 and 54,413.03

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Solution

The fourth proportional to 194,643.47, 291,950.61 and 54,413.03 is: 81,615.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.47 : 291,950.61 = 54,413.03 : x
  2. Step 2: Convert to fraction form
    194,643.47/291,950.61 = 54,413.03/x
  3. Step 3: Cross multiply
    194,643.47x = 291,950.61 × 54,413.03
  4. Step 4: Simplify right side
    194,643.47x = 15,885,915,840.70
  5. Step 5: Solve for x
    x = 15,885,915,840.70/194,643.47
  6. Step 6: Final answer
    x = 81,615.46

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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.