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Finding the Fourth Proportional to 196,009.63, 270,645.65 and 150,616.06

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Solution

The fourth proportional to 196,009.63, 270,645.65 and 150,616.06 is: 207,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,009.63 : 270,645.65 = 150,616.06 : x
  2. Step 2: Convert to fraction form
    196,009.63/270,645.65 = 150,616.06/x
  3. Step 3: Cross multiply
    196,009.63x = 270,645.65 × 150,616.06
  4. Step 4: Simplify right side
    196,009.63x = 40,763,581,459.14
  5. Step 5: Solve for x
    x = 40,763,581,459.14/196,009.63
  6. Step 6: Final answer
    x = 207,967.24

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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.