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Finding the Fourth Proportional to 201,665.96, 302,499.03 and 83,207.10

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Solution

The fourth proportional to 201,665.96, 302,499.03 and 83,207.10 is: 124,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,665.96 : 302,499.03 = 83,207.10 : x
  2. Step 2: Convert to fraction form
    201,665.96/302,499.03 = 83,207.10/x
  3. Step 3: Cross multiply
    201,665.96x = 302,499.03 × 83,207.10
  4. Step 4: Simplify right side
    201,665.96x = 25,170,067,039.11
  5. Step 5: Solve for x
    x = 25,170,067,039.11/201,665.96
  6. Step 6: Final answer
    x = 124,810.69

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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.