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Finding the Fourth Proportional to 202,525.40, 303,715.20 and 102,652.40

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Solution

The fourth proportional to 202,525.40, 303,715.20 and 102,652.40 is: 153,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,525.40 : 303,715.20 = 102,652.40 : x
  2. Step 2: Convert to fraction form
    202,525.40/303,715.20 = 102,652.40/x
  3. Step 3: Cross multiply
    202,525.40x = 303,715.20 × 102,652.40
  4. Step 4: Simplify right side
    202,525.40x = 31,177,094,196.48
  5. Step 5: Solve for x
    x = 31,177,094,196.48/202,525.40
  6. Step 6: Final answer
    x = 153,941.65

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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.