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Finding the Fourth Proportional to 148,521.96, 205,053.48 and 103,185.36

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Solution

The fourth proportional to 148,521.96, 205,053.48 and 103,185.36 is: 142,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,521.96 : 205,053.48 = 103,185.36 : x
  2. Step 2: Convert to fraction form
    148,521.96/205,053.48 = 103,185.36/x
  3. Step 3: Cross multiply
    148,521.96x = 205,053.48 × 103,185.36
  4. Step 4: Simplify right side
    148,521.96x = 21,158,517,153.05
  5. Step 5: Solve for x
    x = 21,158,517,153.05/148,521.96
  6. Step 6: Final answer
    x = 142,460.53

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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.