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Finding the Fourth Proportional to 150,196.17, 207,271.26 and 83,128.17

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Solution

The fourth proportional to 150,196.17, 207,271.26 and 83,128.17 is: 114,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,196.17 : 207,271.26 = 83,128.17 : x
  2. Step 2: Convert to fraction form
    150,196.17/207,271.26 = 83,128.17/x
  3. Step 3: Cross multiply
    150,196.17x = 207,271.26 × 83,128.17
  4. Step 4: Simplify right side
    150,196.17x = 17,230,080,537.39
  5. Step 5: Solve for x
    x = 17,230,080,537.39/150,196.17
  6. Step 6: Final answer
    x = 114,717.18

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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.