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Finding the Fourth Proportional to 420,196.50, 630,300.24 and 139,713.75

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Solution

The fourth proportional to 420,196.50, 630,300.24 and 139,713.75 is: 209,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,196.50 : 630,300.24 = 139,713.75 : x
  2. Step 2: Convert to fraction form
    420,196.50/630,300.24 = 139,713.75/x
  3. Step 3: Cross multiply
    420,196.50x = 630,300.24 × 139,713.75
  4. Step 4: Simplify right side
    420,196.50x = 88,061,610,156.30
  5. Step 5: Solve for x
    x = 88,061,610,156.30/420,196.50
  6. Step 6: Final answer
    x = 209,572.45

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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.