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Finding the Fourth Proportional to 235,113.84, 324,457.56 and 127,682.64

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Solution

The fourth proportional to 235,113.84, 324,457.56 and 127,682.64 is: 176,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,113.84 : 324,457.56 = 127,682.64 : x
  2. Step 2: Convert to fraction form
    235,113.84/324,457.56 = 127,682.64/x
  3. Step 3: Cross multiply
    235,113.84x = 324,457.56 × 127,682.64
  4. Step 4: Simplify right side
    235,113.84x = 41,427,597,828.76
  5. Step 5: Solve for x
    x = 41,427,597,828.76/235,113.84
  6. Step 6: Final answer
    x = 176,202.29

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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.