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Finding the Fourth Proportional to 196,482.46, 271,145.79 and 107,058.46

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Solution

The fourth proportional to 196,482.46, 271,145.79 and 107,058.46 is: 147,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,482.46 : 271,145.79 = 107,058.46 : x
  2. Step 2: Convert to fraction form
    196,482.46/271,145.79 = 107,058.46/x
  3. Step 3: Cross multiply
    196,482.46x = 271,145.79 × 107,058.46
  4. Step 4: Simplify right side
    196,482.46x = 29,028,448,821.86
  5. Step 5: Solve for x
    x = 29,028,448,821.86/196,482.46
  6. Step 6: Final answer
    x = 147,740.67

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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.