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Finding the Fourth Proportional to 262,514.68, 362,271.36 and 147,795.28

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Solution

The fourth proportional to 262,514.68, 362,271.36 and 147,795.28 is: 203,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,514.68 : 362,271.36 = 147,795.28 : x
  2. Step 2: Convert to fraction form
    262,514.68/362,271.36 = 147,795.28/x
  3. Step 3: Cross multiply
    262,514.68x = 362,271.36 × 147,795.28
  4. Step 4: Simplify right side
    262,514.68x = 53,541,997,087.18
  5. Step 5: Solve for x
    x = 53,541,997,087.18/262,514.68
  6. Step 6: Final answer
    x = 203,958.11

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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.