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Finding the Fourth Proportional to 128,504.23, 177,416.34 and 82,582.50

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Solution

The fourth proportional to 128,504.23, 177,416.34 and 82,582.50 is: 114,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,504.23 : 177,416.34 = 82,582.50 : x
  2. Step 2: Convert to fraction form
    128,504.23/177,416.34 = 82,582.50/x
  3. Step 3: Cross multiply
    128,504.23x = 177,416.34 × 82,582.50
  4. Step 4: Simplify right side
    128,504.23x = 14,651,484,454.51
  5. Step 5: Solve for x
    x = 14,651,484,454.51/128,504.23
  6. Step 6: Final answer
    x = 114,015.58

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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.