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Finding the Fourth Proportional to 154,190.64, 231,132.72 and 70,013

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Solution

The fourth proportional to 154,190.64, 231,132.72 and 70,013 is: 104,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,190.64 : 231,132.72 = 70,013 : x
  2. Step 2: Convert to fraction form
    154,190.64/231,132.72 = 70,013/x
  3. Step 3: Cross multiply
    154,190.64x = 231,132.72 × 70,013
  4. Step 4: Simplify right side
    154,190.64x = 16,182,295,125.36
  5. Step 5: Solve for x
    x = 16,182,295,125.36/154,190.64
  6. Step 6: Final answer
    x = 104,949.92

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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.