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Finding the Fourth Proportional to 196,458.12, 271,114.02 and 107,034.12

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Solution

The fourth proportional to 196,458.12, 271,114.02 and 107,034.12 is: 147,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,458.12 : 271,114.02 = 107,034.12 : x
  2. Step 2: Convert to fraction form
    196,458.12/271,114.02 = 107,034.12/x
  3. Step 3: Cross multiply
    196,458.12x = 271,114.02 × 107,034.12
  4. Step 4: Simplify right side
    196,458.12x = 29,018,450,550.36
  5. Step 5: Solve for x
    x = 29,018,450,550.36/196,458.12
  6. Step 6: Final answer
    x = 147,708.07

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1.5x scale

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.