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Finding the Fourth Proportional to 194,683.60, 292,294.33 and 134,563.98

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Solution

The fourth proportional to 194,683.60, 292,294.33 and 134,563.98 is: 202,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,683.60 : 292,294.33 = 134,563.98 : x
  2. Step 2: Convert to fraction form
    194,683.60/292,294.33 = 134,563.98/x
  3. Step 3: Cross multiply
    194,683.60x = 292,294.33 × 134,563.98
  4. Step 4: Simplify right side
    194,683.60x = 39,332,288,039.82
  5. Step 5: Solve for x
    x = 39,332,288,039.82/194,683.60
  6. Step 6: Final answer
    x = 202,031.85

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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.