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Finding the Fourth Proportional to 76,159.02, 114,238.50 and 19,999.02

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Solution

The fourth proportional to 76,159.02, 114,238.50 and 19,999.02 is: 29,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,159.02 : 114,238.50 = 19,999.02 : x
  2. Step 2: Convert to fraction form
    76,159.02/114,238.50 = 19,999.02/x
  3. Step 3: Cross multiply
    76,159.02x = 114,238.50 × 19,999.02
  4. Step 4: Simplify right side
    76,159.02x = 2,284,658,046.27
  5. Step 5: Solve for x
    x = 2,284,658,046.27/76,159.02
  6. Step 6: Final answer
    x = 29,998.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.