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Finding the Fourth Proportional to 120,851.64, 181,277.53 and 45,954.50

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Solution

The fourth proportional to 120,851.64, 181,277.53 and 45,954.50 is: 68,931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851.64 : 181,277.53 = 45,954.50 : x
  2. Step 2: Convert to fraction form
    120,851.64/181,277.53 = 45,954.50/x
  3. Step 3: Cross multiply
    120,851.64x = 181,277.53 × 45,954.50
  4. Step 4: Simplify right side
    120,851.64x = 8,330,518,252.39
  5. Step 5: Solve for x
    x = 8,330,518,252.39/120,851.64
  6. Step 6: Final answer
    x = 68,931.78

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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.