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Finding the Fourth Proportional to 150,984.88, 208,361.70 and 83,004.68

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Solution

The fourth proportional to 150,984.88, 208,361.70 and 83,004.68 is: 114,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984.88 : 208,361.70 = 83,004.68 : x
  2. Step 2: Convert to fraction form
    150,984.88/208,361.70 = 83,004.68/x
  3. Step 3: Cross multiply
    150,984.88x = 208,361.70 × 83,004.68
  4. Step 4: Simplify right side
    150,984.88x = 17,294,996,753.66
  5. Step 5: Solve for x
    x = 17,294,996,753.66/150,984.88
  6. Step 6: Final answer
    x = 114,547.87

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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.