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Finding the Fourth Proportional to 180,103.52, 270,155.36 and 46,983.60

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Solution

The fourth proportional to 180,103.52, 270,155.36 and 46,983.60 is: 70,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,103.52 : 270,155.36 = 46,983.60 : x
  2. Step 2: Convert to fraction form
    180,103.52/270,155.36 = 46,983.60/x
  3. Step 3: Cross multiply
    180,103.52x = 270,155.36 × 46,983.60
  4. Step 4: Simplify right side
    180,103.52x = 12,692,871,372.10
  5. Step 5: Solve for x
    x = 12,692,871,372.10/180,103.52
  6. Step 6: Final answer
    x = 70,475.42

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1.5x scale

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.