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Finding the Fourth Proportional to 75,902.93, 113,702.12 and 69,702.38

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Solution

The fourth proportional to 75,902.93, 113,702.12 and 69,702.38 is: 104,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902.93 : 113,702.12 = 69,702.38 : x
  2. Step 2: Convert to fraction form
    75,902.93/113,702.12 = 69,702.38/x
  3. Step 3: Cross multiply
    75,902.93x = 113,702.12 × 69,702.38
  4. Step 4: Simplify right side
    75,902.93x = 7,925,308,310.79
  5. Step 5: Solve for x
    x = 7,925,308,310.79/75,902.93
  6. Step 6: Final answer
    x = 104,413.73

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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.