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Finding the Fourth Proportional to 128,383.52, 177,185.76 and 71,798

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Solution

The fourth proportional to 128,383.52, 177,185.76 and 71,798 is: 99,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,383.52 : 177,185.76 = 71,798 : x
  2. Step 2: Convert to fraction form
    128,383.52/177,185.76 = 71,798/x
  3. Step 3: Cross multiply
    128,383.52x = 177,185.76 × 71,798
  4. Step 4: Simplify right side
    128,383.52x = 12,721,583,196.48
  5. Step 5: Solve for x
    x = 12,721,583,196.48/128,383.52
  6. Step 6: Final answer
    x = 99,090.47

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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.