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Finding the Fourth Proportional to 202,143.58, 303,280.98 and 96,970.78

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Solution

The fourth proportional to 202,143.58, 303,280.98 and 96,970.78 is: 145,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,143.58 : 303,280.98 = 96,970.78 : x
  2. Step 2: Convert to fraction form
    202,143.58/303,280.98 = 96,970.78/x
  3. Step 3: Cross multiply
    202,143.58x = 303,280.98 × 96,970.78
  4. Step 4: Simplify right side
    202,143.58x = 29,409,393,189.76
  5. Step 5: Solve for x
    x = 29,409,393,189.76/202,143.58
  6. Step 6: Final answer
    x = 145,487.64

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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.