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Finding the Fourth Proportional to 202,496.40, 303,744.60 and 185,437.80

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Solution

The fourth proportional to 202,496.40, 303,744.60 and 185,437.80 is: 278,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496.40 : 303,744.60 = 185,437.80 : x
  2. Step 2: Convert to fraction form
    202,496.40/303,744.60 = 185,437.80/x
  3. Step 3: Cross multiply
    202,496.40x = 303,744.60 × 185,437.80
  4. Step 4: Simplify right side
    202,496.40x = 56,325,730,385.88
  5. Step 5: Solve for x
    x = 56,325,730,385.88/202,496.40
  6. Step 6: Final answer
    x = 278,156.70

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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.