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Finding the Fourth Proportional to 201,663.45, 302,495.27 and 83,204.59

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Solution

The fourth proportional to 201,663.45, 302,495.27 and 83,204.59 is: 124,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,663.45 : 302,495.27 = 83,204.59 : x
  2. Step 2: Convert to fraction form
    201,663.45/302,495.27 = 83,204.59/x
  3. Step 3: Cross multiply
    201,663.45x = 302,495.27 × 83,204.59
  4. Step 4: Simplify right side
    201,663.45x = 25,168,994,917.29
  5. Step 5: Solve for x
    x = 25,168,994,917.29/201,663.45
  6. Step 6: Final answer
    x = 124,806.92

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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.