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Finding the Fourth Proportional to 132,573, 182,950.77 and 72,957

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Solution

The fourth proportional to 132,573, 182,950.77 and 72,957 is: 100,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,573 : 182,950.77 = 72,957 : x
  2. Step 2: Convert to fraction form
    132,573/182,950.77 = 72,957/x
  3. Step 3: Cross multiply
    132,573x = 182,950.77 × 72,957
  4. Step 4: Simplify right side
    132,573x = 13,347,539,326.89
  5. Step 5: Solve for x
    x = 13,347,539,326.89/132,573
  6. Step 6: Final answer
    x = 100,680.68

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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.