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Finding the Fourth Proportional to 132,855.76, 199,287.48 and 49,733.84

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Solution

The fourth proportional to 132,855.76, 199,287.48 and 49,733.84 is: 74,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,855.76 : 199,287.48 = 49,733.84 : x
  2. Step 2: Convert to fraction form
    132,855.76/199,287.48 = 49,733.84/x
  3. Step 3: Cross multiply
    132,855.76x = 199,287.48 × 49,733.84
  4. Step 4: Simplify right side
    132,855.76x = 9,911,331,644.32
  5. Step 5: Solve for x
    x = 9,911,331,644.32/132,855.76
  6. Step 6: Final answer
    x = 74,602.20

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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.