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Finding the Fourth Proportional to 201,706.70, 301,903.95 and 157,091.90

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Solution

The fourth proportional to 201,706.70, 301,903.95 and 157,091.90 is: 235,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,706.70 : 301,903.95 = 157,091.90 : x
  2. Step 2: Convert to fraction form
    201,706.70/301,903.95 = 157,091.90/x
  3. Step 3: Cross multiply
    201,706.70x = 301,903.95 × 157,091.90
  4. Step 4: Simplify right side
    201,706.70x = 47,426,665,123.01
  5. Step 5: Solve for x
    x = 47,426,665,123.01/201,706.70
  6. Step 6: Final answer
    x = 235,126.87

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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.