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Finding the Fourth Proportional to 202,510.40, 303,765.60 and 185,451.80

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Solution

The fourth proportional to 202,510.40, 303,765.60 and 185,451.80 is: 278,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,510.40 : 303,765.60 = 185,451.80 : x
  2. Step 2: Convert to fraction form
    202,510.40/303,765.60 = 185,451.80/x
  3. Step 3: Cross multiply
    202,510.40x = 303,765.60 × 185,451.80
  4. Step 4: Simplify right side
    202,510.40x = 56,333,877,298.08
  5. Step 5: Solve for x
    x = 56,333,877,298.08/202,510.40
  6. Step 6: Final answer
    x = 278,177.70

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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.