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Finding the Fourth Proportional to 185,165.99, 277,739.69 and 65,228.88

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Solution

The fourth proportional to 185,165.99, 277,739.69 and 65,228.88 is: 97,840.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,165.99 : 277,739.69 = 65,228.88 : x
  2. Step 2: Convert to fraction form
    185,165.99/277,739.69 = 65,228.88/x
  3. Step 3: Cross multiply
    185,165.99x = 277,739.69 × 65,228.88
  4. Step 4: Simplify right side
    185,165.99x = 18,116,648,584.10
  5. Step 5: Solve for x
    x = 18,116,648,584.10/185,165.99
  6. Step 6: Final answer
    x = 97,840.05

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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.