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Finding the Fourth Proportional to 194,684.60, 292,295.83 and 134,564.98

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Solution

The fourth proportional to 194,684.60, 292,295.83 and 134,564.98 is: 202,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,684.60 : 292,295.83 = 134,564.98 : x
  2. Step 2: Convert to fraction form
    194,684.60/292,295.83 = 134,564.98/x
  3. Step 3: Cross multiply
    194,684.60x = 292,295.83 × 134,564.98
  4. Step 4: Simplify right side
    194,684.60x = 39,332,782,518.03
  5. Step 5: Solve for x
    x = 39,332,782,518.03/194,684.60
  6. Step 6: Final answer
    x = 202,033.35

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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.