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Finding the Fourth Proportional to 202,443.52, 303,679.88 and 77,784.52

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Solution

The fourth proportional to 202,443.52, 303,679.88 and 77,784.52 is: 116,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,443.52 : 303,679.88 = 77,784.52 : x
  2. Step 2: Convert to fraction form
    202,443.52/303,679.88 = 77,784.52/x
  3. Step 3: Cross multiply
    202,443.52x = 303,679.88 × 77,784.52
  4. Step 4: Simplify right side
    202,443.52x = 23,621,593,699.46
  5. Step 5: Solve for x
    x = 23,621,593,699.46/202,443.52
  6. Step 6: Final answer
    x = 116,682.39

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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.