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Finding the Fourth Proportional to 148,527, 204,976.98 and 81,459

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Solution

The fourth proportional to 148,527, 204,976.98 and 81,459 is: 112,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,527 : 204,976.98 = 81,459 : x
  2. Step 2: Convert to fraction form
    148,527/204,976.98 = 81,459/x
  3. Step 3: Cross multiply
    148,527x = 204,976.98 × 81,459
  4. Step 4: Simplify right side
    148,527x = 16,697,219,813.82
  5. Step 5: Solve for x
    x = 16,697,219,813.82/148,527
  6. Step 6: Final answer
    x = 112,418.75

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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.