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Finding the Fourth Proportional to 127,354.32, 175,697.64 and 76,965.84

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Solution

The fourth proportional to 127,354.32, 175,697.64 and 76,965.84 is: 106,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,354.32 : 175,697.64 = 76,965.84 : x
  2. Step 2: Convert to fraction form
    127,354.32/175,697.64 = 76,965.84/x
  3. Step 3: Cross multiply
    127,354.32x = 175,697.64 × 76,965.84
  4. Step 4: Simplify right side
    127,354.32x = 13,522,716,448.62
  5. Step 5: Solve for x
    x = 13,522,716,448.62/127,354.32
  6. Step 6: Final answer
    x = 106,181.84

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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.