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Finding the Fourth Proportional to 135,893.32, 187,526.46 and 75,467.80

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Solution

The fourth proportional to 135,893.32, 187,526.46 and 75,467.80 is: 104,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,893.32 : 187,526.46 = 75,467.80 : x
  2. Step 2: Convert to fraction form
    135,893.32/187,526.46 = 75,467.80/x
  3. Step 3: Cross multiply
    135,893.32x = 187,526.46 × 75,467.80
  4. Step 4: Simplify right side
    135,893.32x = 14,152,209,377.99
  5. Step 5: Solve for x
    x = 14,152,209,377.99/135,893.32
  6. Step 6: Final answer
    x = 104,142.05

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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.