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Finding the Fourth Proportional to 239,455.50, 359,309 and 106,431.22

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Solution

The fourth proportional to 239,455.50, 359,309 and 106,431.22 is: 159,702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,455.50 : 359,309 = 106,431.22 : x
  2. Step 2: Convert to fraction form
    239,455.50/359,309 = 106,431.22/x
  3. Step 3: Cross multiply
    239,455.50x = 359,309 × 106,431.22
  4. Step 4: Simplify right side
    239,455.50x = 38,241,695,226.98
  5. Step 5: Solve for x
    x = 38,241,695,226.98/239,455.50
  6. Step 6: Final answer
    x = 159,702.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.