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Finding the Fourth Proportional to 178,048.43, 245,709.92 and 97,474.67

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Solution

The fourth proportional to 178,048.43, 245,709.92 and 97,474.67 is: 134,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,048.43 : 245,709.92 = 97,474.67 : x
  2. Step 2: Convert to fraction form
    178,048.43/245,709.92 = 97,474.67/x
  3. Step 3: Cross multiply
    178,048.43x = 245,709.92 × 97,474.67
  4. Step 4: Simplify right side
    178,048.43x = 23,950,492,880.35
  5. Step 5: Solve for x
    x = 23,950,492,880.35/178,048.43
  6. Step 6: Final answer
    x = 134,516.73

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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.