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Finding the Fourth Proportional to 201,852.40, 302,414.10 and 117,543.55

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Solution

The fourth proportional to 201,852.40, 302,414.10 and 117,543.55 is: 176,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,852.40 : 302,414.10 = 117,543.55 : x
  2. Step 2: Convert to fraction form
    201,852.40/302,414.10 = 117,543.55/x
  3. Step 3: Cross multiply
    201,852.40x = 302,414.10 × 117,543.55
  4. Step 4: Simplify right side
    201,852.40x = 35,546,826,884.06
  5. Step 5: Solve for x
    x = 35,546,826,884.06/201,852.40
  6. Step 6: Final answer
    x = 176,103.07

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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.