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Finding the Fourth Proportional to 128,645.48, 177,471.42 and 83,338.58

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Solution

The fourth proportional to 128,645.48, 177,471.42 and 83,338.58 is: 114,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,645.48 : 177,471.42 = 83,338.58 : x
  2. Step 2: Convert to fraction form
    128,645.48/177,471.42 = 83,338.58/x
  3. Step 3: Cross multiply
    128,645.48x = 177,471.42 × 83,338.58
  4. Step 4: Simplify right side
    128,645.48x = 14,790,216,133.38
  5. Step 5: Solve for x
    x = 14,790,216,133.38/128,645.48
  6. Step 6: Final answer
    x = 114,968.80

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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.