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Finding the Fourth Proportional to 132,017.32, 182,184.84 and 71,588.32

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Solution

The fourth proportional to 132,017.32, 182,184.84 and 71,588.32 is: 98,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,017.32 : 182,184.84 = 71,588.32 : x
  2. Step 2: Convert to fraction form
    132,017.32/182,184.84 = 71,588.32/x
  3. Step 3: Cross multiply
    132,017.32x = 182,184.84 × 71,588.32
  4. Step 4: Simplify right side
    132,017.32x = 13,042,306,625.07
  5. Step 5: Solve for x
    x = 13,042,306,625.07/132,017.32
  6. Step 6: Final answer
    x = 98,792.39

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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.