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Finding the Fourth Proportional to 135,786.78, 187,386.48 and 75,361.32

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Solution

The fourth proportional to 135,786.78, 187,386.48 and 75,361.32 is: 103,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,786.78 : 187,386.48 = 75,361.32 : x
  2. Step 2: Convert to fraction form
    135,786.78/187,386.48 = 75,361.32/x
  3. Step 3: Cross multiply
    135,786.78x = 187,386.48 × 75,361.32
  4. Step 4: Simplify right side
    135,786.78x = 14,121,692,482.95
  5. Step 5: Solve for x
    x = 14,121,692,482.95/135,786.78
  6. Step 6: Final answer
    x = 103,999.02

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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.