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Finding the Fourth Proportional to 201,609.09, 302,463.45 and 83,314.26

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Solution

The fourth proportional to 201,609.09, 302,463.45 and 83,314.26 is: 124,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,609.09 : 302,463.45 = 83,314.26 : x
  2. Step 2: Convert to fraction form
    201,609.09/302,463.45 = 83,314.26/x
  3. Step 3: Cross multiply
    201,609.09x = 302,463.45 × 83,314.26
  4. Step 4: Simplify right side
    201,609.09x = 25,199,518,513.80
  5. Step 5: Solve for x
    x = 25,199,518,513.80/201,609.09
  6. Step 6: Final answer
    x = 124,991.98

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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.