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Finding the Fourth Proportional to 198,274.41, 297,168 and 78,210.84

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Solution

The fourth proportional to 198,274.41, 297,168 and 78,210.84 is: 117,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,274.41 : 297,168 = 78,210.84 : x
  2. Step 2: Convert to fraction form
    198,274.41/297,168 = 78,210.84/x
  3. Step 3: Cross multiply
    198,274.41x = 297,168 × 78,210.84
  4. Step 4: Simplify right side
    198,274.41x = 23,241,758,901.12
  5. Step 5: Solve for x
    x = 23,241,758,901.12/198,274.41
  6. Step 6: Final answer
    x = 117,220.16

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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.