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Finding the Fourth Proportional to 201,711.70, 301,911.45 and 157,096.90

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Solution

The fourth proportional to 201,711.70, 301,911.45 and 157,096.90 is: 235,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,711.70 : 301,911.45 = 157,096.90 : x
  2. Step 2: Convert to fraction form
    201,711.70/301,911.45 = 157,096.90/x
  3. Step 3: Cross multiply
    201,711.70x = 301,911.45 × 157,096.90
  4. Step 4: Simplify right side
    201,711.70x = 47,429,352,869.51
  5. Step 5: Solve for x
    x = 47,429,352,869.51/201,711.70
  6. Step 6: Final answer
    x = 235,134.37

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1.5x scale

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.