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Finding the Fourth Proportional to 275,706.72, 413,585.64 and 107,239.88

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Solution

The fourth proportional to 275,706.72, 413,585.64 and 107,239.88 is: 160,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,706.72 : 413,585.64 = 107,239.88 : x
  2. Step 2: Convert to fraction form
    275,706.72/413,585.64 = 107,239.88/x
  3. Step 3: Cross multiply
    275,706.72x = 413,585.64 × 107,239.88
  4. Step 4: Simplify right side
    275,706.72x = 44,352,875,437.29
  5. Step 5: Solve for x
    x = 44,352,875,437.29/275,706.72
  6. Step 6: Final answer
    x = 160,869.77

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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.