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Finding the Fourth Proportional to 202,413, 303,619.50 and 54,669

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Solution

The fourth proportional to 202,413, 303,619.50 and 54,669 is: 82,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413 : 303,619.50 = 54,669 : x
  2. Step 2: Convert to fraction form
    202,413/303,619.50 = 54,669/x
  3. Step 3: Cross multiply
    202,413x = 303,619.50 × 54,669
  4. Step 4: Simplify right side
    202,413x = 16,598,574,445.50
  5. Step 5: Solve for x
    x = 16,598,574,445.50/202,413
  6. Step 6: Final answer
    x = 82,003.50

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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.