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Finding the Fourth Proportional to 211,315.28, 316,992.46 and 76,413.02

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Solution

The fourth proportional to 211,315.28, 316,992.46 and 76,413.02 is: 114,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,315.28 : 316,992.46 = 76,413.02 : x
  2. Step 2: Convert to fraction form
    211,315.28/316,992.46 = 76,413.02/x
  3. Step 3: Cross multiply
    211,315.28x = 316,992.46 × 76,413.02
  4. Step 4: Simplify right side
    211,315.28x = 24,222,350,803.76
  5. Step 5: Solve for x
    x = 24,222,350,803.76/211,315.28
  6. Step 6: Final answer
    x = 114,626.59

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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.