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Finding the Fourth Proportional to 151,061.44, 208,462.08 and 83,992

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Solution

The fourth proportional to 151,061.44, 208,462.08 and 83,992 is: 115,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,061.44 : 208,462.08 = 83,992 : x
  2. Step 2: Convert to fraction form
    151,061.44/208,462.08 = 83,992/x
  3. Step 3: Cross multiply
    151,061.44x = 208,462.08 × 83,992
  4. Step 4: Simplify right side
    151,061.44x = 17,509,147,023.36
  5. Step 5: Solve for x
    x = 17,509,147,023.36/151,061.44
  6. Step 6: Final answer
    x = 115,907.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.