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Finding the Fourth Proportional to 120,430.64, 180,655.31 and 36,184.23

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Solution

The fourth proportional to 120,430.64, 180,655.31 and 36,184.23 is: 54,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,430.64 : 180,655.31 = 36,184.23 : x
  2. Step 2: Convert to fraction form
    120,430.64/180,655.31 = 36,184.23/x
  3. Step 3: Cross multiply
    120,430.64x = 180,655.31 × 36,184.23
  4. Step 4: Simplify right side
    120,430.64x = 6,536,873,378.22
  5. Step 5: Solve for x
    x = 6,536,873,378.22/120,430.64
  6. Step 6: Final answer
    x = 54,279.15

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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.