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Finding the Fourth Proportional to 275,885.60, 413,985.53 and 107,384.13

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Solution

The fourth proportional to 275,885.60, 413,985.53 and 107,384.13 is: 161,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,885.60 : 413,985.53 = 107,384.13 : x
  2. Step 2: Convert to fraction form
    275,885.60/413,985.53 = 107,384.13/x
  3. Step 3: Cross multiply
    275,885.60x = 413,985.53 × 107,384.13
  4. Step 4: Simplify right side
    275,885.60x = 44,455,476,240.10
  5. Step 5: Solve for x
    x = 44,455,476,240.10/275,885.60
  6. Step 6: Final answer
    x = 161,137.36

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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.