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Finding the Fourth Proportional to 180,412.46, 270,868.98 and 113,655.50

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Solution

The fourth proportional to 180,412.46, 270,868.98 and 113,655.50 is: 170,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.46 : 270,868.98 = 113,655.50 : x
  2. Step 2: Convert to fraction form
    180,412.46/270,868.98 = 113,655.50/x
  3. Step 3: Cross multiply
    180,412.46x = 270,868.98 × 113,655.50
  4. Step 4: Simplify right side
    180,412.46x = 30,785,749,356.39
  5. Step 5: Solve for x
    x = 30,785,749,356.39/180,412.46
  6. Step 6: Final answer
    x = 170,640.93

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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.