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Finding the Fourth Proportional to 202,085.80, 303,128.70 and 148,941.70

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Solution

The fourth proportional to 202,085.80, 303,128.70 and 148,941.70 is: 223,412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,085.80 : 303,128.70 = 148,941.70 : x
  2. Step 2: Convert to fraction form
    202,085.80/303,128.70 = 148,941.70/x
  3. Step 3: Cross multiply
    202,085.80x = 303,128.70 × 148,941.70
  4. Step 4: Simplify right side
    202,085.80x = 45,148,503,896.79
  5. Step 5: Solve for x
    x = 45,148,503,896.79/202,085.80
  6. Step 6: Final answer
    x = 223,412.55

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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.