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Finding the Fourth Proportional to 100,297.66, 138,413.28 and 54,977.62

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Solution

The fourth proportional to 100,297.66, 138,413.28 and 54,977.62 is: 75,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.66 : 138,413.28 = 54,977.62 : x
  2. Step 2: Convert to fraction form
    100,297.66/138,413.28 = 54,977.62/x
  3. Step 3: Cross multiply
    100,297.66x = 138,413.28 × 54,977.62
  4. Step 4: Simplify right side
    100,297.66x = 7,609,632,710.79
  5. Step 5: Solve for x
    x = 7,609,632,710.79/100,297.66
  6. Step 6: Final answer
    x = 75,870.49

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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.