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Finding the Fourth Proportional to 202,641.75, 303,962.63 and 54,897.75

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Solution

The fourth proportional to 202,641.75, 303,962.63 and 54,897.75 is: 82,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,641.75 : 303,962.63 = 54,897.75 : x
  2. Step 2: Convert to fraction form
    202,641.75/303,962.63 = 54,897.75/x
  3. Step 3: Cross multiply
    202,641.75x = 303,962.63 × 54,897.75
  4. Step 4: Simplify right side
    202,641.75x = 16,686,864,196.59
  5. Step 5: Solve for x
    x = 16,686,864,196.59/202,641.75
  6. Step 6: Final answer
    x = 82,346.63

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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.