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Finding the Fourth Proportional to 180,878.60, 271,415.10 and 75,708.20

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Solution

The fourth proportional to 180,878.60, 271,415.10 and 75,708.20 is: 113,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878.60 : 271,415.10 = 75,708.20 : x
  2. Step 2: Convert to fraction form
    180,878.60/271,415.10 = 75,708.20/x
  3. Step 3: Cross multiply
    180,878.60x = 271,415.10 × 75,708.20
  4. Step 4: Simplify right side
    180,878.60x = 20,548,348,673.82
  5. Step 5: Solve for x
    x = 20,548,348,673.82/180,878.60
  6. Step 6: Final answer
    x = 113,602.98

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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.