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Finding the Fourth Proportional to 255,463.10, 383,194.65 and 122,274.80

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Solution

The fourth proportional to 255,463.10, 383,194.65 and 122,274.80 is: 183,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,463.10 : 383,194.65 = 122,274.80 : x
  2. Step 2: Convert to fraction form
    255,463.10/383,194.65 = 122,274.80/x
  3. Step 3: Cross multiply
    255,463.10x = 383,194.65 × 122,274.80
  4. Step 4: Simplify right side
    255,463.10x = 46,855,049,189.82
  5. Step 5: Solve for x
    x = 46,855,049,189.82/255,463.10
  6. Step 6: Final answer
    x = 183,412.20

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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.