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Finding the Fourth Proportional to 135,113.94, 186,437.32 and 76,971.20

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Solution

The fourth proportional to 135,113.94, 186,437.32 and 76,971.20 is: 106,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,113.94 : 186,437.32 = 76,971.20 : x
  2. Step 2: Convert to fraction form
    135,113.94/186,437.32 = 76,971.20/x
  3. Step 3: Cross multiply
    135,113.94x = 186,437.32 × 76,971.20
  4. Step 4: Simplify right side
    135,113.94x = 14,350,303,120.57
  5. Step 5: Solve for x
    x = 14,350,303,120.57/135,113.94
  6. Step 6: Final answer
    x = 106,208.90

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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.