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Finding the Fourth Proportional to 286,234.63, 429,303.34 and 75,893.83

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Solution

The fourth proportional to 286,234.63, 429,303.34 and 75,893.83 is: 113,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,234.63 : 429,303.34 = 75,893.83 : x
  2. Step 2: Convert to fraction form
    286,234.63/429,303.34 = 75,893.83/x
  3. Step 3: Cross multiply
    286,234.63x = 429,303.34 × 75,893.83
  4. Step 4: Simplify right side
    286,234.63x = 32,581,474,704.39
  5. Step 5: Solve for x
    x = 32,581,474,704.39/286,234.63
  6. Step 6: Final answer
    x = 113,827.86

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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.