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Finding the Fourth Proportional to 120,567.75, 180,851.71 and 30,617.20

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Solution

The fourth proportional to 120,567.75, 180,851.71 and 30,617.20 is: 45,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,567.75 : 180,851.71 = 30,617.20 : x
  2. Step 2: Convert to fraction form
    120,567.75/180,851.71 = 30,617.20/x
  3. Step 3: Cross multiply
    120,567.75x = 180,851.71 × 30,617.20
  4. Step 4: Simplify right side
    120,567.75x = 5,537,173,329.03
  5. Step 5: Solve for x
    x = 5,537,173,329.03/120,567.75
  6. Step 6: Final answer
    x = 45,925.82

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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.