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Finding the Fourth Proportional to 135,698.13, 187,264.32 and 75,269.80

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Solution

The fourth proportional to 135,698.13, 187,264.32 and 75,269.80 is: 103,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,698.13 : 187,264.32 = 75,269.80 : x
  2. Step 2: Convert to fraction form
    135,698.13/187,264.32 = 75,269.80/x
  3. Step 3: Cross multiply
    135,698.13x = 187,264.32 × 75,269.80
  4. Step 4: Simplify right side
    135,698.13x = 14,095,346,977.21
  5. Step 5: Solve for x
    x = 14,095,346,977.21/135,698.13
  6. Step 6: Final answer
    x = 103,872.82

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