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Finding the Fourth Proportional to 202,607.52, 303,888.24 and 54,852

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Solution

The fourth proportional to 202,607.52, 303,888.24 and 54,852 is: 82,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,607.52 : 303,888.24 = 54,852 : x
  2. Step 2: Convert to fraction form
    202,607.52/303,888.24 = 54,852/x
  3. Step 3: Cross multiply
    202,607.52x = 303,888.24 × 54,852
  4. Step 4: Simplify right side
    202,607.52x = 16,668,877,740.48
  5. Step 5: Solve for x
    x = 16,668,877,740.48/202,607.52
  6. Step 6: Final answer
    x = 82,271.76

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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.