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Finding the Fourth Proportional to 188,810.51, 283,216.50 and 76,492.85

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Solution

The fourth proportional to 188,810.51, 283,216.50 and 76,492.85 is: 114,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,810.51 : 283,216.50 = 76,492.85 : x
  2. Step 2: Convert to fraction form
    188,810.51/283,216.50 = 76,492.85/x
  3. Step 3: Cross multiply
    188,810.51x = 283,216.50 × 76,492.85
  4. Step 4: Simplify right side
    188,810.51x = 21,664,035,835.94
  5. Step 5: Solve for x
    x = 21,664,035,835.94/188,810.51
  6. Step 6: Final answer
    x = 114,739.57

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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.