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Finding the Fourth Proportional to 147,942.60, 221,804.55 and 81,457.80

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Solution

The fourth proportional to 147,942.60, 221,804.55 and 81,457.80 is: 122,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942.60 : 221,804.55 = 81,457.80 : x
  2. Step 2: Convert to fraction form
    147,942.60/221,804.55 = 81,457.80/x
  3. Step 3: Cross multiply
    147,942.60x = 221,804.55 × 81,457.80
  4. Step 4: Simplify right side
    147,942.60x = 18,067,710,672.99
  5. Step 5: Solve for x
    x = 18,067,710,672.99/147,942.60
  6. Step 6: Final answer
    x = 122,126.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.