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Finding the Fourth Proportional to 271,883.32, 407,634.54 and 103,413.40

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Solution

The fourth proportional to 271,883.32, 407,634.54 and 103,413.40 is: 155,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,883.32 : 407,634.54 = 103,413.40 : x
  2. Step 2: Convert to fraction form
    271,883.32/407,634.54 = 103,413.40/x
  3. Step 3: Cross multiply
    271,883.32x = 407,634.54 × 103,413.40
  4. Step 4: Simplify right side
    271,883.32x = 42,154,873,738.84
  5. Step 5: Solve for x
    x = 42,154,873,738.84/271,883.32
  6. Step 6: Final answer
    x = 155,047.66

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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.