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Finding the Fourth Proportional to 132,285.84, 182,549.21 and 71,855.25

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Solution

The fourth proportional to 132,285.84, 182,549.21 and 71,855.25 is: 99,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285.84 : 182,549.21 = 71,855.25 : x
  2. Step 2: Convert to fraction form
    132,285.84/182,549.21 = 71,855.25/x
  3. Step 3: Cross multiply
    132,285.84x = 182,549.21 × 71,855.25
  4. Step 4: Simplify right side
    132,285.84x = 13,117,118,762.58
  5. Step 5: Solve for x
    x = 13,117,118,762.58/132,285.84
  6. Step 6: Final answer
    x = 99,157.39

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Why These Related Problems?

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