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Finding the Fourth Proportional to 148,839, 205,397.90 and 81,775.32

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Solution

The fourth proportional to 148,839, 205,397.90 and 81,775.32 is: 112,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,839 : 205,397.90 = 81,775.32 : x
  2. Step 2: Convert to fraction form
    148,839/205,397.90 = 81,775.32/x
  3. Step 3: Cross multiply
    148,839x = 205,397.90 × 81,775.32
  4. Step 4: Simplify right side
    148,839x = 16,796,478,999.83
  5. Step 5: Solve for x
    x = 16,796,478,999.83/148,839
  6. Step 6: Final answer
    x = 112,849.99

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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.