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Finding the Fourth Proportional to 128,714.94, 177,619.32 and 75,008.70

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Solution

The fourth proportional to 128,714.94, 177,619.32 and 75,008.70 is: 103,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,714.94 : 177,619.32 = 75,008.70 : x
  2. Step 2: Convert to fraction form
    128,714.94/177,619.32 = 75,008.70/x
  3. Step 3: Cross multiply
    128,714.94x = 177,619.32 × 75,008.70
  4. Step 4: Simplify right side
    128,714.94x = 13,322,994,288.08
  5. Step 5: Solve for x
    x = 13,322,994,288.08/128,714.94
  6. Step 6: Final answer
    x = 103,507.75

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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.