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Finding the Fourth Proportional to 233,093.64, 349,413.64 and 148,590.12

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Solution

The fourth proportional to 233,093.64, 349,413.64 and 148,590.12 is: 222,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,093.64 : 349,413.64 = 148,590.12 : x
  2. Step 2: Convert to fraction form
    233,093.64/349,413.64 = 148,590.12/x
  3. Step 3: Cross multiply
    233,093.64x = 349,413.64 × 148,590.12
  4. Step 4: Simplify right side
    233,093.64x = 51,919,414,697.24
  5. Step 5: Solve for x
    x = 51,919,414,697.24/233,093.64
  6. Step 6: Final answer
    x = 222,740.59

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1.5x scale

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.