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Finding the Fourth Proportional to 184,142.63, 276,225.63 and 57,787.86

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Solution

The fourth proportional to 184,142.63, 276,225.63 and 57,787.86 is: 86,685.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,142.63 : 276,225.63 = 57,787.86 : x
  2. Step 2: Convert to fraction form
    184,142.63/276,225.63 = 57,787.86/x
  3. Step 3: Cross multiply
    184,142.63x = 276,225.63 × 57,787.86
  4. Step 4: Simplify right side
    184,142.63x = 15,962,488,853.99
  5. Step 5: Solve for x
    x = 15,962,488,853.99/184,142.63
  6. Step 6: Final answer
    x = 86,685.46

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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.