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Finding the Fourth Proportional to 255,442.94, 383,164.17 and 120,475.52

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Solution

The fourth proportional to 255,442.94, 383,164.17 and 120,475.52 is: 180,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,442.94 : 383,164.17 = 120,475.52 : x
  2. Step 2: Convert to fraction form
    255,442.94/383,164.17 = 120,475.52/x
  3. Step 3: Cross multiply
    255,442.94x = 383,164.17 × 120,475.52
  4. Step 4: Simplify right side
    255,442.94x = 46,161,902,626.12
  5. Step 5: Solve for x
    x = 46,161,902,626.12/255,442.94
  6. Step 6: Final answer
    x = 180,713.17

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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.