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Finding the Fourth Proportional to 224,413.98, 309,731.35 and 133,775.72

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Solution

The fourth proportional to 224,413.98, 309,731.35 and 133,775.72 is: 184,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,413.98 : 309,731.35 = 133,775.72 : x
  2. Step 2: Convert to fraction form
    224,413.98/309,731.35 = 133,775.72/x
  3. Step 3: Cross multiply
    224,413.98x = 309,731.35 × 133,775.72
  4. Step 4: Simplify right side
    224,413.98x = 41,434,534,352.82
  5. Step 5: Solve for x
    x = 41,434,534,352.82/224,413.98
  6. Step 6: Final answer
    x = 184,634.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.