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Finding the Fourth Proportional to 135,019.14, 186,264.36 and 78,419.58

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Solution

The fourth proportional to 135,019.14, 186,264.36 and 78,419.58 is: 108,182.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,019.14 : 186,264.36 = 78,419.58 : x
  2. Step 2: Convert to fraction form
    135,019.14/186,264.36 = 78,419.58/x
  3. Step 3: Cross multiply
    135,019.14x = 186,264.36 × 78,419.58
  4. Step 4: Simplify right side
    135,019.14x = 14,606,772,880.17
  5. Step 5: Solve for x
    x = 14,606,772,880.17/135,019.14
  6. Step 6: Final answer
    x = 108,182.98

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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.