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Finding the Fourth Proportional to 275,952.46, 413,848.74 and 107,435.23

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Solution

The fourth proportional to 275,952.46, 413,848.74 and 107,435.23 is: 161,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952.46 : 413,848.74 = 107,435.23 : x
  2. Step 2: Convert to fraction form
    275,952.46/413,848.74 = 107,435.23/x
  3. Step 3: Cross multiply
    275,952.46x = 413,848.74 × 107,435.23
  4. Step 4: Simplify right side
    275,952.46x = 44,461,934,567.11
  5. Step 5: Solve for x
    x = 44,461,934,567.11/275,952.46
  6. Step 6: Final answer
    x = 161,121.72

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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.