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Finding the Fourth Proportional to 205,337.40, 307,568.70 and 165,971.40

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Solution

The fourth proportional to 205,337.40, 307,568.70 and 165,971.40 is: 248,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,337.40 : 307,568.70 = 165,971.40 : x
  2. Step 2: Convert to fraction form
    205,337.40/307,568.70 = 165,971.40/x
  3. Step 3: Cross multiply
    205,337.40x = 307,568.70 × 165,971.40
  4. Step 4: Simplify right side
    205,337.40x = 51,047,607,735.18
  5. Step 5: Solve for x
    x = 51,047,607,735.18/205,337.40
  6. Step 6: Final answer
    x = 248,603.56

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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.