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Finding the Fourth Proportional to 201,755.10, 302,608.35 and 83,414.10

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Solution

The fourth proportional to 201,755.10, 302,608.35 and 83,414.10 is: 125,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,755.10 : 302,608.35 = 83,414.10 : x
  2. Step 2: Convert to fraction form
    201,755.10/302,608.35 = 83,414.10/x
  3. Step 3: Cross multiply
    201,755.10x = 302,608.35 × 83,414.10
  4. Step 4: Simplify right side
    201,755.10x = 25,241,803,167.74
  5. Step 5: Solve for x
    x = 25,241,803,167.74/201,755.10
  6. Step 6: Final answer
    x = 125,111.10

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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.