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Finding the Fourth Proportional to 178,219.80, 245,943.41 and 97,650.45

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Solution

The fourth proportional to 178,219.80, 245,943.41 and 97,650.45 is: 134,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,219.80 : 245,943.41 = 97,650.45 : x
  2. Step 2: Convert to fraction form
    178,219.80/245,943.41 = 97,650.45/x
  3. Step 3: Cross multiply
    178,219.80x = 245,943.41 × 97,650.45
  4. Step 4: Simplify right side
    178,219.80x = 24,016,484,172.78
  5. Step 5: Solve for x
    x = 24,016,484,172.78/178,219.80
  6. Step 6: Final answer
    x = 134,757.67

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Why These Related Problems?

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