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Finding the Fourth Proportional to 135,534.72, 187,039.01 and 75,106.37

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Solution

The fourth proportional to 135,534.72, 187,039.01 and 75,106.37 is: 103,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,534.72 : 187,039.01 = 75,106.37 : x
  2. Step 2: Convert to fraction form
    135,534.72/187,039.01 = 75,106.37/x
  3. Step 3: Cross multiply
    135,534.72x = 187,039.01 × 75,106.37
  4. Step 4: Simplify right side
    135,534.72x = 14,047,819,778.77
  5. Step 5: Solve for x
    x = 14,047,819,778.77/135,534.72
  6. Step 6: Final answer
    x = 103,647.39

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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.