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Finding the Fourth Proportional to 132,184.68, 182,509.71 and 81,265.74

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Solution

The fourth proportional to 132,184.68, 182,509.71 and 81,265.74 is: 112,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,184.68 : 182,509.71 = 81,265.74 : x
  2. Step 2: Convert to fraction form
    132,184.68/182,509.71 = 81,265.74/x
  3. Step 3: Cross multiply
    132,184.68x = 182,509.71 × 81,265.74
  4. Step 4: Simplify right side
    132,184.68x = 14,831,786,640.34
  5. Step 5: Solve for x
    x = 14,831,786,640.34/132,184.68
  6. Step 6: Final answer
    x = 112,205.03

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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.