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Finding the Fourth Proportional to 135,164.47, 202,725.40 and 45,206.50

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Solution

The fourth proportional to 135,164.47, 202,725.40 and 45,206.50 is: 67,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,164.47 : 202,725.40 = 45,206.50 : x
  2. Step 2: Convert to fraction form
    135,164.47/202,725.40 = 45,206.50/x
  3. Step 3: Cross multiply
    135,164.47x = 202,725.40 × 45,206.50
  4. Step 4: Simplify right side
    135,164.47x = 9,164,505,795.10
  5. Step 5: Solve for x
    x = 9,164,505,795.10/135,164.47
  6. Step 6: Final answer
    x = 67,802.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.