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Finding the Fourth Proportional to 165,509.89, 248,070.43 and 76,575.53

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Solution

The fourth proportional to 165,509.89, 248,070.43 and 76,575.53 is: 114,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,509.89 : 248,070.43 = 76,575.53 : x
  2. Step 2: Convert to fraction form
    165,509.89/248,070.43 = 76,575.53/x
  3. Step 3: Cross multiply
    165,509.89x = 248,070.43 × 76,575.53
  4. Step 4: Simplify right side
    165,509.89x = 18,996,125,370.47
  5. Step 5: Solve for x
    x = 18,996,125,370.47/165,509.89
  6. Step 6: Final answer
    x = 114,773.36

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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.