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Finding the Fourth Proportional to 182,886.88, 274,302.58 and 49,777.50

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Solution

The fourth proportional to 182,886.88, 274,302.58 and 49,777.50 is: 74,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,886.88 : 274,302.58 = 49,777.50 : x
  2. Step 2: Convert to fraction form
    182,886.88/274,302.58 = 49,777.50/x
  3. Step 3: Cross multiply
    182,886.88x = 274,302.58 × 49,777.50
  4. Step 4: Simplify right side
    182,886.88x = 13,654,096,675.95
  5. Step 5: Solve for x
    x = 13,654,096,675.95/182,886.88
  6. Step 6: Final answer
    x = 74,658.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.