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Finding the Fourth Proportional to 201,483.16, 278,029.62 and 116,605.48

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Solution

The fourth proportional to 201,483.16, 278,029.62 and 116,605.48 is: 160,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,483.16 : 278,029.62 = 116,605.48 : x
  2. Step 2: Convert to fraction form
    201,483.16/278,029.62 = 116,605.48/x
  3. Step 3: Cross multiply
    201,483.16x = 278,029.62 × 116,605.48
  4. Step 4: Simplify right side
    201,483.16x = 32,419,777,294.32
  5. Step 5: Solve for x
    x = 32,419,777,294.32/201,483.16
  6. Step 6: Final answer
    x = 160,905.64

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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.