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Finding the Fourth Proportional to 172,425, 237,946.50 and 96,975.12

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Solution

The fourth proportional to 172,425, 237,946.50 and 96,975.12 is: 133,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,425 : 237,946.50 = 96,975.12 : x
  2. Step 2: Convert to fraction form
    172,425/237,946.50 = 96,975.12/x
  3. Step 3: Cross multiply
    172,425x = 237,946.50 × 96,975.12
  4. Step 4: Simplify right side
    172,425x = 23,074,890,391.08
  5. Step 5: Solve for x
    x = 23,074,890,391.08/172,425
  6. Step 6: Final answer
    x = 133,825.67

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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.