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Finding the Fourth Proportional to 189,113.10, 283,669.65 and 169,413.90

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Solution

The fourth proportional to 189,113.10, 283,669.65 and 169,413.90 is: 254,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,113.10 : 283,669.65 = 169,413.90 : x
  2. Step 2: Convert to fraction form
    189,113.10/283,669.65 = 169,413.90/x
  3. Step 3: Cross multiply
    189,113.10x = 283,669.65 × 169,413.90
  4. Step 4: Simplify right side
    189,113.10x = 48,057,581,718.14
  5. Step 5: Solve for x
    x = 48,057,581,718.14/189,113.10
  6. Step 6: Final answer
    x = 254,120.85

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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.