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Finding the Fourth Proportional to 194,795.70, 292,193.55 and 76,470.90

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Solution

The fourth proportional to 194,795.70, 292,193.55 and 76,470.90 is: 114,706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,795.70 : 292,193.55 = 76,470.90 : x
  2. Step 2: Convert to fraction form
    194,795.70/292,193.55 = 76,470.90/x
  3. Step 3: Cross multiply
    194,795.70x = 292,193.55 × 76,470.90
  4. Step 4: Simplify right side
    194,795.70x = 22,344,303,742.70
  5. Step 5: Solve for x
    x = 22,344,303,742.70/194,795.70
  6. Step 6: Final answer
    x = 114,706.35

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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.