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Finding the Fourth Proportional to 147,333.96, 221,022.72 and 53,817.84

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Solution

The fourth proportional to 147,333.96, 221,022.72 and 53,817.84 is: 80,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,333.96 : 221,022.72 = 53,817.84 : x
  2. Step 2: Convert to fraction form
    147,333.96/221,022.72 = 53,817.84/x
  3. Step 3: Cross multiply
    147,333.96x = 221,022.72 × 53,817.84
  4. Step 4: Simplify right side
    147,333.96x = 11,894,965,381.32
  5. Step 5: Solve for x
    x = 11,894,965,381.32/147,333.96
  6. Step 6: Final answer
    x = 80,734.72

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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.