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Finding the Fourth Proportional to 255,652.34, 383,477.87 and 75,751.77

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Solution

The fourth proportional to 255,652.34, 383,477.87 and 75,751.77 is: 113,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,652.34 : 383,477.87 = 75,751.77 : x
  2. Step 2: Convert to fraction form
    255,652.34/383,477.87 = 75,751.77/x
  3. Step 3: Cross multiply
    255,652.34x = 383,477.87 × 75,751.77
  4. Step 4: Simplify right side
    255,652.34x = 29,049,127,029.57
  5. Step 5: Solve for x
    x = 29,049,127,029.57/255,652.34
  6. Step 6: Final answer
    x = 113,627.47

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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.