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Finding the Fourth Proportional to 255,971.87, 353,311.44 and 148,576.50

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Solution

The fourth proportional to 255,971.87, 353,311.44 and 148,576.50 is: 205,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,971.87 : 353,311.44 = 148,576.50 : x
  2. Step 2: Convert to fraction form
    255,971.87/353,311.44 = 148,576.50/x
  3. Step 3: Cross multiply
    255,971.87x = 353,311.44 × 148,576.50
  4. Step 4: Simplify right side
    255,971.87x = 52,493,777,165.16
  5. Step 5: Solve for x
    x = 52,493,777,165.16/255,971.87
  6. Step 6: Final answer
    x = 205,076.35

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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.