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Finding the Fourth Proportional to 132,802.60, 199,199.10 and 53,914.60

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Solution

The fourth proportional to 132,802.60, 199,199.10 and 53,914.60 is: 80,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,802.60 : 199,199.10 = 53,914.60 : x
  2. Step 2: Convert to fraction form
    132,802.60/199,199.10 = 53,914.60/x
  3. Step 3: Cross multiply
    132,802.60x = 199,199.10 × 53,914.60
  4. Step 4: Simplify right side
    132,802.60x = 10,739,739,796.86
  5. Step 5: Solve for x
    x = 10,739,739,796.86/132,802.60
  6. Step 6: Final answer
    x = 80,869.95

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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.