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Finding the Fourth Proportional to 202,298.70, 303,411.60 and 127,284.60

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Solution

The fourth proportional to 202,298.70, 303,411.60 and 127,284.60 is: 190,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.70 : 303,411.60 = 127,284.60 : x
  2. Step 2: Convert to fraction form
    202,298.70/303,411.60 = 127,284.60/x
  3. Step 3: Cross multiply
    202,298.70x = 303,411.60 × 127,284.60
  4. Step 4: Simplify right side
    202,298.70x = 38,619,624,141.36
  5. Step 5: Solve for x
    x = 38,619,624,141.36/202,298.70
  6. Step 6: Final answer
    x = 190,903.97

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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.