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Finding the Fourth Proportional to 338,093.44, 507,145.92 and 127,830.40

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Solution

The fourth proportional to 338,093.44, 507,145.92 and 127,830.40 is: 191,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,093.44 : 507,145.92 = 127,830.40 : x
  2. Step 2: Convert to fraction form
    338,093.44/507,145.92 = 127,830.40/x
  3. Step 3: Cross multiply
    338,093.44x = 507,145.92 × 127,830.40
  4. Step 4: Simplify right side
    338,093.44x = 64,828,665,811.97
  5. Step 5: Solve for x
    x = 64,828,665,811.97/338,093.44
  6. Step 6: Final answer
    x = 191,747.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.