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Finding the Fourth Proportional to 411,051.40, 616,203.44 and 158,170.56

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Solution

The fourth proportional to 411,051.40, 616,203.44 and 158,170.56 is: 237,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,051.40 : 616,203.44 = 158,170.56 : x
  2. Step 2: Convert to fraction form
    411,051.40/616,203.44 = 158,170.56/x
  3. Step 3: Cross multiply
    411,051.40x = 616,203.44 × 158,170.56
  4. Step 4: Simplify right side
    411,051.40x = 97,465,243,178.73
  5. Step 5: Solve for x
    x = 97,465,243,178.73/411,051.40
  6. Step 6: Final answer
    x = 237,112.06

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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.