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Finding the Fourth Proportional to 257,183.54, 385,407.70 and 144,627.50

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Solution

The fourth proportional to 257,183.54, 385,407.70 and 144,627.50 is: 216,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,183.54 : 385,407.70 = 144,627.50 : x
  2. Step 2: Convert to fraction form
    257,183.54/385,407.70 = 144,627.50/x
  3. Step 3: Cross multiply
    257,183.54x = 385,407.70 × 144,627.50
  4. Step 4: Simplify right side
    257,183.54x = 55,740,552,131.75
  5. Step 5: Solve for x
    x = 55,740,552,131.75/257,183.54
  6. Step 6: Final answer
    x = 216,734.52

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Why These Related Problems?

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