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Finding the Fourth Proportional to 180,421.49, 270,633.36 and 47,300.55

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Solution

The fourth proportional to 180,421.49, 270,633.36 and 47,300.55 is: 70,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,421.49 : 270,633.36 = 47,300.55 : x
  2. Step 2: Convert to fraction form
    180,421.49/270,633.36 = 47,300.55/x
  3. Step 3: Cross multiply
    180,421.49x = 270,633.36 × 47,300.55
  4. Step 4: Simplify right side
    180,421.49x = 12,801,106,776.35
  5. Step 5: Solve for x
    x = 12,801,106,776.35/180,421.49
  6. Step 6: Final answer
    x = 70,951.12

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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.