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Finding the Fourth Proportional to 198,206.46, 297,340.74 and 65,056.50

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Solution

The fourth proportional to 198,206.46, 297,340.74 and 65,056.50 is: 97,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,206.46 : 297,340.74 = 65,056.50 : x
  2. Step 2: Convert to fraction form
    198,206.46/297,340.74 = 65,056.50/x
  3. Step 3: Cross multiply
    198,206.46x = 297,340.74 × 65,056.50
  4. Step 4: Simplify right side
    198,206.46x = 19,343,947,851.81
  5. Step 5: Solve for x
    x = 19,343,947,851.81/198,206.46
  6. Step 6: Final answer
    x = 97,594.94

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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.