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Finding the Fourth Proportional to 201,614.70, 302,342.40 and 75,185.58

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Solution

The fourth proportional to 201,614.70, 302,342.40 and 75,185.58 is: 112,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.70 : 302,342.40 = 75,185.58 : x
  2. Step 2: Convert to fraction form
    201,614.70/302,342.40 = 75,185.58/x
  3. Step 3: Cross multiply
    201,614.70x = 302,342.40 × 75,185.58
  4. Step 4: Simplify right side
    201,614.70x = 22,731,788,702.59
  5. Step 5: Solve for x
    x = 22,731,788,702.59/201,614.70
  6. Step 6: Final answer
    x = 112,748.67

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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.