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Finding the Fourth Proportional to 132,577.66, 182,955.27 and 72,961.66

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Solution

The fourth proportional to 132,577.66, 182,955.27 and 72,961.66 is: 100,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,577.66 : 182,955.27 = 72,961.66 : x
  2. Step 2: Convert to fraction form
    132,577.66/182,955.27 = 72,961.66/x
  3. Step 3: Cross multiply
    132,577.66x = 182,955.27 × 72,961.66
  4. Step 4: Simplify right side
    132,577.66x = 13,348,720,204.95
  5. Step 5: Solve for x
    x = 13,348,720,204.95/132,577.66
  6. Step 6: Final answer
    x = 100,686.04

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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.