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Finding the Fourth Proportional to 150,523.96, 207,725.40 and 82,547.14

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Solution

The fourth proportional to 150,523.96, 207,725.40 and 82,547.14 is: 113,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,523.96 : 207,725.40 = 82,547.14 : x
  2. Step 2: Convert to fraction form
    150,523.96/207,725.40 = 82,547.14/x
  3. Step 3: Cross multiply
    150,523.96x = 207,725.40 × 82,547.14
  4. Step 4: Simplify right side
    150,523.96x = 17,147,137,675.36
  5. Step 5: Solve for x
    x = 17,147,137,675.36/150,523.96
  6. Step 6: Final answer
    x = 113,916.33

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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.