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Finding the Fourth Proportional to 110,397.94, 165,599.64 and 40,277.25

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Solution

The fourth proportional to 110,397.94, 165,599.64 and 40,277.25 is: 60,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,397.94 : 165,599.64 = 40,277.25 : x
  2. Step 2: Convert to fraction form
    110,397.94/165,599.64 = 40,277.25/x
  3. Step 3: Cross multiply
    110,397.94x = 165,599.64 × 40,277.25
  4. Step 4: Simplify right side
    110,397.94x = 6,669,898,100.19
  5. Step 5: Solve for x
    x = 6,669,898,100.19/110,397.94
  6. Step 6: Final answer
    x = 60,416.87

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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.