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Finding the Fourth Proportional to 189,511.56, 284,296.56 and 63,108.48

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Solution

The fourth proportional to 189,511.56, 284,296.56 and 63,108.48 is: 94,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,511.56 : 284,296.56 = 63,108.48 : x
  2. Step 2: Convert to fraction form
    189,511.56/284,296.56 = 63,108.48/x
  3. Step 3: Cross multiply
    189,511.56x = 284,296.56 × 63,108.48
  4. Step 4: Simplify right side
    189,511.56x = 17,941,523,770.83
  5. Step 5: Solve for x
    x = 17,941,523,770.83/189,511.56
  6. Step 6: Final answer
    x = 94,672.45

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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.