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Finding the Fourth Proportional to 420,197.50, 630,301.74 and 139,714.75

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Solution

The fourth proportional to 420,197.50, 630,301.74 and 139,714.75 is: 209,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,197.50 : 630,301.74 = 139,714.75 : x
  2. Step 2: Convert to fraction form
    420,197.50/630,301.74 = 139,714.75/x
  3. Step 3: Cross multiply
    420,197.50x = 630,301.74 × 139,714.75
  4. Step 4: Simplify right side
    420,197.50x = 88,062,450,028.67
  5. Step 5: Solve for x
    x = 88,062,450,028.67/420,197.50
  6. Step 6: Final answer
    x = 209,573.95

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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.