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Finding the Fourth Proportional to 148,855.86, 223,152.57 and 55,296

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Solution

The fourth proportional to 148,855.86, 223,152.57 and 55,296 is: 82,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,855.86 : 223,152.57 = 55,296 : x
  2. Step 2: Convert to fraction form
    148,855.86/223,152.57 = 55,296/x
  3. Step 3: Cross multiply
    148,855.86x = 223,152.57 × 55,296
  4. Step 4: Simplify right side
    148,855.86x = 12,339,444,510.72
  5. Step 5: Solve for x
    x = 12,339,444,510.72/148,855.86
  6. Step 6: Final answer
    x = 82,895.26

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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.