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Finding the Fourth Proportional to 180,473.40, 270,635.58 and 68,134.50

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Solution

The fourth proportional to 180,473.40, 270,635.58 and 68,134.50 is: 102,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,473.40 : 270,635.58 = 68,134.50 : x
  2. Step 2: Convert to fraction form
    180,473.40/270,635.58 = 68,134.50/x
  3. Step 3: Cross multiply
    180,473.40x = 270,635.58 × 68,134.50
  4. Step 4: Simplify right side
    180,473.40x = 18,439,619,925.51
  5. Step 5: Solve for x
    x = 18,439,619,925.51/180,473.40
  6. Step 6: Final answer
    x = 102,173.62

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Why These Related Problems?

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