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Finding the Fourth Proportional to 199,577.10, 299,413.49 and 66,458.55

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Solution

The fourth proportional to 199,577.10, 299,413.49 and 66,458.55 is: 99,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,577.10 : 299,413.49 = 66,458.55 : x
  2. Step 2: Convert to fraction form
    199,577.10/299,413.49 = 66,458.55/x
  3. Step 3: Cross multiply
    199,577.10x = 299,413.49 × 66,458.55
  4. Step 4: Simplify right side
    199,577.10x = 19,898,586,063.55
  5. Step 5: Solve for x
    x = 19,898,586,063.55/199,577.10
  6. Step 6: Final answer
    x = 99,703.75

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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.