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Finding the Fourth Proportional to 132,273, 182,536.74 and 72,657

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Solution

The fourth proportional to 132,273, 182,536.74 and 72,657 is: 100,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,273 : 182,536.74 = 72,657 : x
  2. Step 2: Convert to fraction form
    132,273/182,536.74 = 72,657/x
  3. Step 3: Cross multiply
    132,273x = 182,536.74 × 72,657
  4. Step 4: Simplify right side
    132,273x = 13,262,571,918.18
  5. Step 5: Solve for x
    x = 13,262,571,918.18/132,273
  6. Step 6: Final answer
    x = 100,266.66

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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.