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Finding the Fourth Proportional to 180,509.84, 270,765.28 and 62,179.68

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Solution

The fourth proportional to 180,509.84, 270,765.28 and 62,179.68 is: 93,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.84 : 270,765.28 = 62,179.68 : x
  2. Step 2: Convert to fraction form
    180,509.84/270,765.28 = 62,179.68/x
  3. Step 3: Cross multiply
    180,509.84x = 270,765.28 × 62,179.68
  4. Step 4: Simplify right side
    180,509.84x = 16,836,098,465.51
  5. Step 5: Solve for x
    x = 16,836,098,465.51/180,509.84
  6. Step 6: Final answer
    x = 93,269.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.