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Finding the Fourth Proportional to 132,153.94, 182,373.75 and 71,725.12

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Solution

The fourth proportional to 132,153.94, 182,373.75 and 71,725.12 is: 98,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,153.94 : 182,373.75 = 71,725.12 : x
  2. Step 2: Convert to fraction form
    132,153.94/182,373.75 = 71,725.12/x
  3. Step 3: Cross multiply
    132,153.94x = 182,373.75 × 71,725.12
  4. Step 4: Simplify right side
    132,153.94x = 13,080,779,103.60
  5. Step 5: Solve for x
    x = 13,080,779,103.60/132,153.94
  6. Step 6: Final answer
    x = 98,981.38

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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.