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Finding the Fourth Proportional to 194,835.76, 292,246.72 and 74,861.80

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Solution

The fourth proportional to 194,835.76, 292,246.72 and 74,861.80 is: 112,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,835.76 : 292,246.72 = 74,861.80 : x
  2. Step 2: Convert to fraction form
    194,835.76/292,246.72 = 74,861.80/x
  3. Step 3: Cross multiply
    194,835.76x = 292,246.72 × 74,861.80
  4. Step 4: Simplify right side
    194,835.76x = 21,878,114,585.52
  5. Step 5: Solve for x
    x = 21,878,114,585.52/194,835.76
  6. Step 6: Final answer
    x = 112,290.04

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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.