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Finding the Fourth Proportional to 302,923.38, 418,032.90 and 165,102.08

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Solution

The fourth proportional to 302,923.38, 418,032.90 and 165,102.08 is: 227,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,923.38 : 418,032.90 = 165,102.08 : x
  2. Step 2: Convert to fraction form
    302,923.38/418,032.90 = 165,102.08/x
  3. Step 3: Cross multiply
    302,923.38x = 418,032.90 × 165,102.08
  4. Step 4: Simplify right side
    302,923.38x = 69,018,099,208.27
  5. Step 5: Solve for x
    x = 69,018,099,208.27/302,923.38
  6. Step 6: Final answer
    x = 227,840.12

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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.