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Finding the Fourth Proportional to 147,051.68, 202,914.64 and 82,512.47

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Solution

The fourth proportional to 147,051.68, 202,914.64 and 82,512.47 is: 113,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,051.68 : 202,914.64 = 82,512.47 : x
  2. Step 2: Convert to fraction form
    147,051.68/202,914.64 = 82,512.47/x
  3. Step 3: Cross multiply
    147,051.68x = 202,914.64 × 82,512.47
  4. Step 4: Simplify right side
    147,051.68x = 16,742,988,988.05
  5. Step 5: Solve for x
    x = 16,742,988,988.05/147,051.68
  6. Step 6: Final answer
    x = 113,857.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.