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Finding the Fourth Proportional to 199,577.43, 299,413.80 and 66,458.84

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Solution

The fourth proportional to 199,577.43, 299,413.80 and 66,458.84 is: 99,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,577.43 : 299,413.80 = 66,458.84 : x
  2. Step 2: Convert to fraction form
    199,577.43/299,413.80 = 66,458.84/x
  3. Step 3: Cross multiply
    199,577.43x = 299,413.80 × 66,458.84
  4. Step 4: Simplify right side
    199,577.43x = 19,898,692,330.92
  5. Step 5: Solve for x
    x = 19,898,692,330.92/199,577.43
  6. Step 6: Final answer
    x = 99,704.12

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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.