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Finding the Fourth Proportional to 138,146.09, 207,244.19 and 57,093.25

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Solution

The fourth proportional to 138,146.09, 207,244.19 and 57,093.25 is: 85,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.09 : 207,244.19 = 57,093.25 : x
  2. Step 2: Convert to fraction form
    138,146.09/207,244.19 = 57,093.25/x
  3. Step 3: Cross multiply
    138,146.09x = 207,244.19 × 57,093.25
  4. Step 4: Simplify right side
    138,146.09x = 11,832,243,547.14
  5. Step 5: Solve for x
    x = 11,832,243,547.14/138,146.09
  6. Step 6: Final answer
    x = 85,650.23

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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.