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Finding the Fourth Proportional to 201,976.70, 302,770.65 and 156,973.10

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Solution

The fourth proportional to 201,976.70, 302,770.65 and 156,973.10 is: 235,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.70 : 302,770.65 = 156,973.10 : x
  2. Step 2: Convert to fraction form
    201,976.70/302,770.65 = 156,973.10/x
  3. Step 3: Cross multiply
    201,976.70x = 302,770.65 × 156,973.10
  4. Step 4: Simplify right side
    201,976.70x = 47,526,847,519.52
  5. Step 5: Solve for x
    x = 47,526,847,519.52/201,976.70
  6. Step 6: Final answer
    x = 235,308.57

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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.