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Finding the Fourth Proportional to 255,791.16, 383,570.10 and 122,734.08

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Solution

The fourth proportional to 255,791.16, 383,570.10 and 122,734.08 is: 184,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,791.16 : 383,570.10 = 122,734.08 : x
  2. Step 2: Convert to fraction form
    255,791.16/383,570.10 = 122,734.08/x
  3. Step 3: Cross multiply
    255,791.16x = 383,570.10 × 122,734.08
  4. Step 4: Simplify right side
    255,791.16x = 47,077,123,339.01
  5. Step 5: Solve for x
    x = 47,077,123,339.01/255,791.16
  6. Step 6: Final answer
    x = 184,045.15

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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.