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Finding the Fourth Proportional to 148,782.39, 205,355.43 and 85,157.10

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Solution

The fourth proportional to 148,782.39, 205,355.43 and 85,157.10 is: 117,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,782.39 : 205,355.43 = 85,157.10 : x
  2. Step 2: Convert to fraction form
    148,782.39/205,355.43 = 85,157.10/x
  3. Step 3: Cross multiply
    148,782.39x = 205,355.43 × 85,157.10
  4. Step 4: Simplify right side
    148,782.39x = 17,487,472,888.05
  5. Step 5: Solve for x
    x = 17,487,472,888.05/148,782.39
  6. Step 6: Final answer
    x = 117,537.25

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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.