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Finding the Fourth Proportional to 135,156.64, 186,510.72 and 78,563.56

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Solution

The fourth proportional to 135,156.64, 186,510.72 and 78,563.56 is: 108,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,156.64 : 186,510.72 = 78,563.56 : x
  2. Step 2: Convert to fraction form
    135,156.64/186,510.72 = 78,563.56/x
  3. Step 3: Cross multiply
    135,156.64x = 186,510.72 × 78,563.56
  4. Step 4: Simplify right side
    135,156.64x = 14,652,946,141.36
  5. Step 5: Solve for x
    x = 14,652,946,141.36/135,156.64
  6. Step 6: Final answer
    x = 108,414.55

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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.