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Finding the Fourth Proportional to 128,542.84, 177,343.50 and 83,753.08

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Solution

The fourth proportional to 128,542.84, 177,343.50 and 83,753.08 is: 115,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,542.84 : 177,343.50 = 83,753.08 : x
  2. Step 2: Convert to fraction form
    128,542.84/177,343.50 = 83,753.08/x
  3. Step 3: Cross multiply
    128,542.84x = 177,343.50 × 83,753.08
  4. Step 4: Simplify right side
    128,542.84x = 14,853,064,342.98
  5. Step 5: Solve for x
    x = 14,853,064,342.98/128,542.84
  6. Step 6: Final answer
    x = 115,549.53

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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.