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Finding the Fourth Proportional to 137,090.80, 205,636.20 and 109,097.20

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Solution

The fourth proportional to 137,090.80, 205,636.20 and 109,097.20 is: 163,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090.80 : 205,636.20 = 109,097.20 : x
  2. Step 2: Convert to fraction form
    137,090.80/205,636.20 = 109,097.20/x
  3. Step 3: Cross multiply
    137,090.80x = 205,636.20 × 109,097.20
  4. Step 4: Simplify right side
    137,090.80x = 22,434,333,638.64
  5. Step 5: Solve for x
    x = 22,434,333,638.64/137,090.80
  6. Step 6: Final answer
    x = 163,645.80

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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.