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Finding the Fourth Proportional to 180,536.40, 270,374.75 and 104,474.59

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Solution

The fourth proportional to 180,536.40, 270,374.75 and 104,474.59 is: 156,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,536.40 : 270,374.75 = 104,474.59 : x
  2. Step 2: Convert to fraction form
    180,536.40/270,374.75 = 104,474.59/x
  3. Step 3: Cross multiply
    180,536.40x = 270,374.75 × 104,474.59
  4. Step 4: Simplify right side
    180,536.40x = 28,247,291,152.60
  5. Step 5: Solve for x
    x = 28,247,291,152.60/180,536.40
  6. Step 6: Final answer
    x = 156,463.14

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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.