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Finding the Fourth Proportional to 420,202, 630,308.49 and 139,719.25

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Solution

The fourth proportional to 420,202, 630,308.49 and 139,719.25 is: 209,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,202 : 630,308.49 = 139,719.25 : x
  2. Step 2: Convert to fraction form
    420,202/630,308.49 = 139,719.25/x
  3. Step 3: Cross multiply
    420,202x = 630,308.49 × 139,719.25
  4. Step 4: Simplify right side
    420,202x = 88,066,229,491.43
  5. Step 5: Solve for x
    x = 88,066,229,491.43/420,202
  6. Step 6: Final answer
    x = 209,580.70

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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.