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Finding the Fourth Proportional to 201,865.70, 302,798.55 and 117,539.30

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Solution

The fourth proportional to 201,865.70, 302,798.55 and 117,539.30 is: 176,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,865.70 : 302,798.55 = 117,539.30 : x
  2. Step 2: Convert to fraction form
    201,865.70/302,798.55 = 117,539.30/x
  3. Step 3: Cross multiply
    201,865.70x = 302,798.55 × 117,539.30
  4. Step 4: Simplify right side
    201,865.70x = 35,590,729,608.02
  5. Step 5: Solve for x
    x = 35,590,729,608.02/201,865.70
  6. Step 6: Final answer
    x = 176,308.95

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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.