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Finding the Fourth Proportional to 110,603.20, 165,904.80 and 102,049.60

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Solution

The fourth proportional to 110,603.20, 165,904.80 and 102,049.60 is: 153,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,603.20 : 165,904.80 = 102,049.60 : x
  2. Step 2: Convert to fraction form
    110,603.20/165,904.80 = 102,049.60/x
  3. Step 3: Cross multiply
    110,603.20x = 165,904.80 × 102,049.60
  4. Step 4: Simplify right side
    110,603.20x = 16,930,518,478.08
  5. Step 5: Solve for x
    x = 16,930,518,478.08/110,603.20
  6. Step 6: Final answer
    x = 153,074.40

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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.