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Finding the Fourth Proportional to 180,409.98, 270,630.87 and 47,289.78

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Solution

The fourth proportional to 180,409.98, 270,630.87 and 47,289.78 is: 70,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.98 : 270,630.87 = 47,289.78 : x
  2. Step 2: Convert to fraction form
    180,409.98/270,630.87 = 47,289.78/x
  3. Step 3: Cross multiply
    180,409.98x = 270,630.87 × 47,289.78
  4. Step 4: Simplify right side
    180,409.98x = 12,798,074,303.51
  5. Step 5: Solve for x
    x = 12,798,074,303.51/180,409.98
  6. Step 6: Final answer
    x = 70,938.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.