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Finding the Fourth Proportional to 129,907.56, 194,873.76 and 36,413.04

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Solution

The fourth proportional to 129,907.56, 194,873.76 and 36,413.04 is: 54,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,907.56 : 194,873.76 = 36,413.04 : x
  2. Step 2: Convert to fraction form
    129,907.56/194,873.76 = 36,413.04/x
  3. Step 3: Cross multiply
    129,907.56x = 194,873.76 × 36,413.04
  4. Step 4: Simplify right side
    129,907.56x = 7,095,946,017.83
  5. Step 5: Solve for x
    x = 7,095,946,017.83/129,907.56
  6. Step 6: Final answer
    x = 54,623.04

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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.