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Finding the Fourth Proportional to 195,509.34, 269,740.19 and 109,455.67

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Solution

The fourth proportional to 195,509.34, 269,740.19 and 109,455.67 is: 151,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,509.34 : 269,740.19 = 109,455.67 : x
  2. Step 2: Convert to fraction form
    195,509.34/269,740.19 = 109,455.67/x
  3. Step 3: Cross multiply
    195,509.34x = 269,740.19 × 109,455.67
  4. Step 4: Simplify right side
    195,509.34x = 29,524,592,000.75
  5. Step 5: Solve for x
    x = 29,524,592,000.75/195,509.34
  6. Step 6: Final answer
    x = 151,013.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.