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Finding the Fourth Proportional to 184,042.08, 276,413.04 and 114,408

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Solution

The fourth proportional to 184,042.08, 276,413.04 and 114,408 is: 171,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,042.08 : 276,413.04 = 114,408 : x
  2. Step 2: Convert to fraction form
    184,042.08/276,413.04 = 114,408/x
  3. Step 3: Cross multiply
    184,042.08x = 276,413.04 × 114,408
  4. Step 4: Simplify right side
    184,042.08x = 31,623,863,080.32
  5. Step 5: Solve for x
    x = 31,623,863,080.32/184,042.08
  6. Step 6: Final answer
    x = 171,829.52

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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.