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Finding the Fourth Proportional to 143,817, 198,468.12 and 83,423.40

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Solution

The fourth proportional to 143,817, 198,468.12 and 83,423.40 is: 115,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,817 : 198,468.12 = 83,423.40 : x
  2. Step 2: Convert to fraction form
    143,817/198,468.12 = 83,423.40/x
  3. Step 3: Cross multiply
    143,817x = 198,468.12 × 83,423.40
  4. Step 4: Simplify right side
    143,817x = 16,556,885,362.01
  5. Step 5: Solve for x
    x = 16,556,885,362.01/143,817
  6. Step 6: Final answer
    x = 115,124.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.