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Finding the Fourth Proportional to 110,497.60, 165,746.40 and 99,438.40

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Solution

The fourth proportional to 110,497.60, 165,746.40 and 99,438.40 is: 149,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.60 : 165,746.40 = 99,438.40 : x
  2. Step 2: Convert to fraction form
    110,497.60/165,746.40 = 99,438.40/x
  3. Step 3: Cross multiply
    110,497.60x = 165,746.40 × 99,438.40
  4. Step 4: Simplify right side
    110,497.60x = 16,481,556,821.76
  5. Step 5: Solve for x
    x = 16,481,556,821.76/110,497.60
  6. Step 6: Final answer
    x = 149,157.60

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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.