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Finding the Fourth Proportional to 269,558.47, 371,984.74 and 148,699.86

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Solution

The fourth proportional to 269,558.47, 371,984.74 and 148,699.86 is: 205,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,558.47 : 371,984.74 = 148,699.86 : x
  2. Step 2: Convert to fraction form
    269,558.47/371,984.74 = 148,699.86/x
  3. Step 3: Cross multiply
    269,558.47x = 371,984.74 × 148,699.86
  4. Step 4: Simplify right side
    269,558.47x = 55,314,078,760.14
  5. Step 5: Solve for x
    x = 55,314,078,760.14/269,558.47
  6. Step 6: Final answer
    x = 205,202.53

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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.