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Finding the Fourth Proportional to 184,413.10, 276,619.65 and 164,713.90

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Solution

The fourth proportional to 184,413.10, 276,619.65 and 164,713.90 is: 247,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,413.10 : 276,619.65 = 164,713.90 : x
  2. Step 2: Convert to fraction form
    184,413.10/276,619.65 = 164,713.90/x
  3. Step 3: Cross multiply
    184,413.10x = 276,619.65 × 164,713.90
  4. Step 4: Simplify right side
    184,413.10x = 45,563,101,368.14
  5. Step 5: Solve for x
    x = 45,563,101,368.14/184,413.10
  6. Step 6: Final answer
    x = 247,070.85

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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.