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Finding the Fourth Proportional to 145,314, 217,912.68 and 70,372.80

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Solution

The fourth proportional to 145,314, 217,912.68 and 70,372.80 is: 105,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,314 : 217,912.68 = 70,372.80 : x
  2. Step 2: Convert to fraction form
    145,314/217,912.68 = 70,372.80/x
  3. Step 3: Cross multiply
    145,314x = 217,912.68 × 70,372.80
  4. Step 4: Simplify right side
    145,314x = 15,335,125,447.10
  5. Step 5: Solve for x
    x = 15,335,125,447.10/145,314
  6. Step 6: Final answer
    x = 105,530.96

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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.