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Finding the Fourth Proportional to 120,003.60, 180,005.40 and 31,256.40

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Solution

The fourth proportional to 120,003.60, 180,005.40 and 31,256.40 is: 46,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,003.60 : 180,005.40 = 31,256.40 : x
  2. Step 2: Convert to fraction form
    120,003.60/180,005.40 = 31,256.40/x
  3. Step 3: Cross multiply
    120,003.60x = 180,005.40 × 31,256.40
  4. Step 4: Simplify right side
    120,003.60x = 5,626,320,784.56
  5. Step 5: Solve for x
    x = 5,626,320,784.56/120,003.60
  6. Step 6: Final answer
    x = 46,884.60

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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.