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Finding the Fourth Proportional to 300,745.06, 415,028.16 and 164,784.16

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Solution

The fourth proportional to 300,745.06, 415,028.16 and 164,784.16 is: 227,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,745.06 : 415,028.16 = 164,784.16 : x
  2. Step 2: Convert to fraction form
    300,745.06/415,028.16 = 164,784.16/x
  3. Step 3: Cross multiply
    300,745.06x = 415,028.16 × 164,784.16
  4. Step 4: Simplify right side
    300,745.06x = 68,390,066,721.95
  5. Step 5: Solve for x
    x = 68,390,066,721.95/300,745.06
  6. Step 6: Final answer
    x = 227,402.13

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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.