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Finding the Fourth Proportional to 202,302.52, 303,640.20 and 102,533.50

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Solution

The fourth proportional to 202,302.52, 303,640.20 and 102,533.50 is: 153,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.52 : 303,640.20 = 102,533.50 : x
  2. Step 2: Convert to fraction form
    202,302.52/303,640.20 = 102,533.50/x
  3. Step 3: Cross multiply
    202,302.52x = 303,640.20 × 102,533.50
  4. Step 4: Simplify right side
    202,302.52x = 31,133,292,446.70
  5. Step 5: Solve for x
    x = 31,133,292,446.70/202,302.52
  6. Step 6: Final answer
    x = 153,894.73

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1.5x scale

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.