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Finding the Fourth Proportional to 184,969.54, 277,466.84 and 65,011.90

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Solution

The fourth proportional to 184,969.54, 277,466.84 and 65,011.90 is: 97,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,969.54 : 277,466.84 = 65,011.90 : x
  2. Step 2: Convert to fraction form
    184,969.54/277,466.84 = 65,011.90/x
  3. Step 3: Cross multiply
    184,969.54x = 277,466.84 × 65,011.90
  4. Step 4: Simplify right side
    184,969.54x = 18,038,647,554.12
  5. Step 5: Solve for x
    x = 18,038,647,554.12/184,969.54
  6. Step 6: Final answer
    x = 97,522.26

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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.