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Finding the Fourth Proportional to 148,580, 205,041.52 and 81,512

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Solution

The fourth proportional to 148,580, 205,041.52 and 81,512 is: 112,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,580 : 205,041.52 = 81,512 : x
  2. Step 2: Convert to fraction form
    148,580/205,041.52 = 81,512/x
  3. Step 3: Cross multiply
    148,580x = 205,041.52 × 81,512
  4. Step 4: Simplify right side
    148,580x = 16,713,344,378.24
  5. Step 5: Solve for x
    x = 16,713,344,378.24/148,580
  6. Step 6: Final answer
    x = 112,487.17

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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.