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Finding the Fourth Proportional to 122,171.76, 183,199.50 and 47,326.86

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Solution

The fourth proportional to 122,171.76, 183,199.50 and 47,326.86 is: 70,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,171.76 : 183,199.50 = 47,326.86 : x
  2. Step 2: Convert to fraction form
    122,171.76/183,199.50 = 47,326.86/x
  3. Step 3: Cross multiply
    122,171.76x = 183,199.50 × 47,326.86
  4. Step 4: Simplify right side
    122,171.76x = 8,670,257,088.57
  5. Step 5: Solve for x
    x = 8,670,257,088.57/122,171.76
  6. Step 6: Final answer
    x = 70,967.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.