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Finding the Fourth Proportional to 201,232.70, 301,503.45 and 106,322.30

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Solution

The fourth proportional to 201,232.70, 301,503.45 and 106,322.30 is: 159,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232.70 : 301,503.45 = 106,322.30 : x
  2. Step 2: Convert to fraction form
    201,232.70/301,503.45 = 106,322.30/x
  3. Step 3: Cross multiply
    201,232.70x = 301,503.45 × 106,322.30
  4. Step 4: Simplify right side
    201,232.70x = 32,056,540,261.94
  5. Step 5: Solve for x
    x = 32,056,540,261.94/201,232.70
  6. Step 6: Final answer
    x = 159,300.85

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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.