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Finding the Fourth Proportional to 154,209.72, 231,157.02 and 87,509

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Solution

The fourth proportional to 154,209.72, 231,157.02 and 87,509 is: 131,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,209.72 : 231,157.02 = 87,509 : x
  2. Step 2: Convert to fraction form
    154,209.72/231,157.02 = 87,509/x
  3. Step 3: Cross multiply
    154,209.72x = 231,157.02 × 87,509
  4. Step 4: Simplify right side
    154,209.72x = 20,228,319,663.18
  5. Step 5: Solve for x
    x = 20,228,319,663.18/154,209.72
  6. Step 6: Final answer
    x = 131,174.09

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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.