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Finding the Fourth Proportional to 110,494.30, 165,885.99 and 65,597.62

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Solution

The fourth proportional to 110,494.30, 165,885.99 and 65,597.62 is: 98,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,494.30 : 165,885.99 = 65,597.62 : x
  2. Step 2: Convert to fraction form
    110,494.30/165,885.99 = 65,597.62/x
  3. Step 3: Cross multiply
    110,494.30x = 165,885.99 × 65,597.62
  4. Step 4: Simplify right side
    110,494.30x = 10,881,726,135.34
  5. Step 5: Solve for x
    x = 10,881,726,135.34/110,494.30
  6. Step 6: Final answer
    x = 98,482.24

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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.