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Finding the Fourth Proportional to 148,854, 205,418.52 and 81,786

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Solution

The fourth proportional to 148,854, 205,418.52 and 81,786 is: 112,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,854 : 205,418.52 = 81,786 : x
  2. Step 2: Convert to fraction form
    148,854/205,418.52 = 81,786/x
  3. Step 3: Cross multiply
    148,854x = 205,418.52 × 81,786
  4. Step 4: Simplify right side
    148,854x = 16,800,359,076.72
  5. Step 5: Solve for x
    x = 16,800,359,076.72/148,854
  6. Step 6: Final answer
    x = 112,864.68

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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.