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Finding the Fourth Proportional to 180,410.46, 270,865.98 and 113,653.50

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Solution

The fourth proportional to 180,410.46, 270,865.98 and 113,653.50 is: 170,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,410.46 : 270,865.98 = 113,653.50 : x
  2. Step 2: Convert to fraction form
    180,410.46/270,865.98 = 113,653.50/x
  3. Step 3: Cross multiply
    180,410.46x = 270,865.98 × 113,653.50
  4. Step 4: Simplify right side
    180,410.46x = 30,784,866,657.93
  5. Step 5: Solve for x
    x = 30,784,866,657.93/180,410.46
  6. Step 6: Final answer
    x = 170,637.93

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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.