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Finding the Fourth Proportional to 158,265.88, 237,457.14 and 83,383

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Solution

The fourth proportional to 158,265.88, 237,457.14 and 83,383 is: 125,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,265.88 : 237,457.14 = 83,383 : x
  2. Step 2: Convert to fraction form
    158,265.88/237,457.14 = 83,383/x
  3. Step 3: Cross multiply
    158,265.88x = 237,457.14 × 83,383
  4. Step 4: Simplify right side
    158,265.88x = 19,799,888,704.62
  5. Step 5: Solve for x
    x = 19,799,888,704.62/158,265.88
  6. Step 6: Final answer
    x = 125,105.23

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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.