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Finding the Fourth Proportional to 420,196.75, 630,300.62 and 139,714

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Solution

The fourth proportional to 420,196.75, 630,300.62 and 139,714 is: 209,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,196.75 : 630,300.62 = 139,714 : x
  2. Step 2: Convert to fraction form
    420,196.75/630,300.62 = 139,714/x
  3. Step 3: Cross multiply
    420,196.75x = 630,300.62 × 139,714
  4. Step 4: Simplify right side
    420,196.75x = 88,061,820,124.11
  5. Step 5: Solve for x
    x = 88,061,820,124.11/420,196.75
  6. Step 6: Final answer
    x = 209,572.83

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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.