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Finding the Fourth Proportional to 183,197.90, 274,798.22 and 56,835.77

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Solution

The fourth proportional to 183,197.90, 274,798.22 and 56,835.77 is: 85,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,197.90 : 274,798.22 = 56,835.77 : x
  2. Step 2: Convert to fraction form
    183,197.90/274,798.22 = 56,835.77/x
  3. Step 3: Cross multiply
    183,197.90x = 274,798.22 × 56,835.77
  4. Step 4: Simplify right side
    183,197.90x = 15,618,366,770.16
  5. Step 5: Solve for x
    x = 15,618,366,770.16/183,197.90
  6. Step 6: Final answer
    x = 85,254.07

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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.