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Finding the Fourth Proportional to 180,577.80, 270,909.90 and 87,006.60

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Solution

The fourth proportional to 180,577.80, 270,909.90 and 87,006.60 is: 130,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,577.80 : 270,909.90 = 87,006.60 : x
  2. Step 2: Convert to fraction form
    180,577.80/270,909.90 = 87,006.60/x
  3. Step 3: Cross multiply
    180,577.80x = 270,909.90 × 87,006.60
  4. Step 4: Simplify right side
    180,577.80x = 23,570,949,305.34
  5. Step 5: Solve for x
    x = 23,570,949,305.34/180,577.80
  6. Step 6: Final answer
    x = 130,530.71

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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.