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Finding the Fourth Proportional to 128,842.44, 177,782.07 and 83,582.47

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Solution

The fourth proportional to 128,842.44, 177,782.07 and 83,582.47 is: 115,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,842.44 : 177,782.07 = 83,582.47 : x
  2. Step 2: Convert to fraction form
    128,842.44/177,782.07 = 83,582.47/x
  3. Step 3: Cross multiply
    128,842.44x = 177,782.07 × 83,582.47
  4. Step 4: Simplify right side
    128,842.44x = 14,859,464,532.31
  5. Step 5: Solve for x
    x = 14,859,464,532.31/128,842.44
  6. Step 6: Final answer
    x = 115,330.51

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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.