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Finding the Fourth Proportional to 161,604, 223,009.02 and 89,983.98

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Solution

The fourth proportional to 161,604, 223,009.02 and 89,983.98 is: 124,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,604 : 223,009.02 = 89,983.98 : x
  2. Step 2: Convert to fraction form
    161,604/223,009.02 = 89,983.98/x
  3. Step 3: Cross multiply
    161,604x = 223,009.02 × 89,983.98
  4. Step 4: Simplify right side
    161,604x = 20,067,239,195.50
  5. Step 5: Solve for x
    x = 20,067,239,195.50/161,604
  6. Step 6: Final answer
    x = 124,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.