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Finding the Fourth Proportional to 120,374.16, 180,554.04 and 41,486.64

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Solution

The fourth proportional to 120,374.16, 180,554.04 and 41,486.64 is: 62,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,374.16 : 180,554.04 = 41,486.64 : x
  2. Step 2: Convert to fraction form
    120,374.16/180,554.04 = 41,486.64/x
  3. Step 3: Cross multiply
    120,374.16x = 180,554.04 × 41,486.64
  4. Step 4: Simplify right side
    120,374.16x = 7,490,580,458.03
  5. Step 5: Solve for x
    x = 7,490,580,458.03/120,374.16
  6. Step 6: Final answer
    x = 62,227.48

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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.