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Finding the Fourth Proportional to 420,856.14, 631,372.88 and 136,524.50

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Solution

The fourth proportional to 420,856.14, 631,372.88 and 136,524.50 is: 204,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,856.14 : 631,372.88 = 136,524.50 : x
  2. Step 2: Convert to fraction form
    420,856.14/631,372.88 = 136,524.50/x
  3. Step 3: Cross multiply
    420,856.14x = 631,372.88 × 136,524.50
  4. Step 4: Simplify right side
    420,856.14x = 86,197,862,916.07
  5. Step 5: Solve for x
    x = 86,197,862,916.07/420,856.14
  6. Step 6: Final answer
    x = 204,815.51

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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.