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Finding the Fourth Proportional to 135,440.42, 186,893.54 and 75,009.48

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Solution

The fourth proportional to 135,440.42, 186,893.54 and 75,009.48 is: 103,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,440.42 : 186,893.54 = 75,009.48 : x
  2. Step 2: Convert to fraction form
    135,440.42/186,893.54 = 75,009.48/x
  3. Step 3: Cross multiply
    135,440.42x = 186,893.54 × 75,009.48
  4. Step 4: Simplify right side
    135,440.42x = 14,018,787,250.76
  5. Step 5: Solve for x
    x = 14,018,787,250.76/135,440.42
  6. Step 6: Final answer
    x = 103,505.20

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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.