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Finding the Fourth Proportional to 135,890.52, 187,533.72 and 75,462.12

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Solution

The fourth proportional to 135,890.52, 187,533.72 and 75,462.12 is: 104,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,890.52 : 187,533.72 = 75,462.12 : x
  2. Step 2: Convert to fraction form
    135,890.52/187,533.72 = 75,462.12/x
  3. Step 3: Cross multiply
    135,890.52x = 187,533.72 × 75,462.12
  4. Step 4: Simplify right side
    135,890.52x = 14,151,692,082.69
  5. Step 5: Solve for x
    x = 14,151,692,082.69/135,890.52
  6. Step 6: Final answer
    x = 104,140.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.