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Finding the Fourth Proportional to 148,885, 205,461.30 and 81,817

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Solution

The fourth proportional to 148,885, 205,461.30 and 81,817 is: 112,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,885 : 205,461.30 = 81,817 : x
  2. Step 2: Convert to fraction form
    148,885/205,461.30 = 81,817/x
  3. Step 3: Cross multiply
    148,885x = 205,461.30 × 81,817
  4. Step 4: Simplify right side
    148,885x = 16,810,227,182.10
  5. Step 5: Solve for x
    x = 16,810,227,182.10/148,885
  6. Step 6: Final answer
    x = 112,907.46

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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.