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Finding the Fourth Proportional to 189,566.68, 284,341.32 and 47,413.48

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Solution

The fourth proportional to 189,566.68, 284,341.32 and 47,413.48 is: 71,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,566.68 : 284,341.32 = 47,413.48 : x
  2. Step 2: Convert to fraction form
    189,566.68/284,341.32 = 47,413.48/x
  3. Step 3: Cross multiply
    189,566.68x = 284,341.32 × 47,413.48
  4. Step 4: Simplify right side
    189,566.68x = 13,481,611,488.99
  5. Step 5: Solve for x
    x = 13,481,611,488.99/189,566.68
  6. Step 6: Final answer
    x = 71,118.04

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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.