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Finding the Fourth Proportional to 257,185.54, 385,410.70 and 144,629.50

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Solution

The fourth proportional to 257,185.54, 385,410.70 and 144,629.50 is: 216,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,185.54 : 385,410.70 = 144,629.50 : x
  2. Step 2: Convert to fraction form
    257,185.54/385,410.70 = 144,629.50/x
  3. Step 3: Cross multiply
    257,185.54x = 385,410.70 × 144,629.50
  4. Step 4: Simplify right side
    257,185.54x = 55,741,756,835.65
  5. Step 5: Solve for x
    x = 55,741,756,835.65/257,185.54
  6. Step 6: Final answer
    x = 216,737.52

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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.