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Finding the Fourth Proportional to 148,986.42, 205,571.85 and 83,577.42

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Solution

The fourth proportional to 148,986.42, 205,571.85 and 83,577.42 is: 115,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,986.42 : 205,571.85 = 83,577.42 : x
  2. Step 2: Convert to fraction form
    148,986.42/205,571.85 = 83,577.42/x
  3. Step 3: Cross multiply
    148,986.42x = 205,571.85 × 83,577.42
  4. Step 4: Simplify right side
    148,986.42x = 17,181,164,847.63
  5. Step 5: Solve for x
    x = 17,181,164,847.63/148,986.42
  6. Step 6: Final answer
    x = 115,320.34

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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.