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Finding the Fourth Proportional to 201,970.70, 302,761.65 and 156,967.10

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Solution

The fourth proportional to 201,970.70, 302,761.65 and 156,967.10 is: 235,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,970.70 : 302,761.65 = 156,967.10 : x
  2. Step 2: Convert to fraction form
    201,970.70/302,761.65 = 156,967.10/x
  3. Step 3: Cross multiply
    201,970.70x = 302,761.65 × 156,967.10
  4. Step 4: Simplify right side
    201,970.70x = 47,523,618,191.72
  5. Step 5: Solve for x
    x = 47,523,618,191.72/201,970.70
  6. Step 6: Final answer
    x = 235,299.57

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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.