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Finding the Fourth Proportional to 110,415.40, 165,623.10 and 98,434.60

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Solution

The fourth proportional to 110,415.40, 165,623.10 and 98,434.60 is: 147,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,415.40 : 165,623.10 = 98,434.60 : x
  2. Step 2: Convert to fraction form
    110,415.40/165,623.10 = 98,434.60/x
  3. Step 3: Cross multiply
    110,415.40x = 165,623.10 × 98,434.60
  4. Step 4: Simplify right side
    110,415.40x = 16,303,043,599.26
  5. Step 5: Solve for x
    x = 16,303,043,599.26/110,415.40
  6. Step 6: Final answer
    x = 147,651.90

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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.