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Finding the Fourth Proportional to 194,689.56, 292,034.34 and 76,416.60

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Solution

The fourth proportional to 194,689.56, 292,034.34 and 76,416.60 is: 114,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689.56 : 292,034.34 = 76,416.60 : x
  2. Step 2: Convert to fraction form
    194,689.56/292,034.34 = 76,416.60/x
  3. Step 3: Cross multiply
    194,689.56x = 292,034.34 × 76,416.60
  4. Step 4: Simplify right side
    194,689.56x = 22,316,271,346.04
  5. Step 5: Solve for x
    x = 22,316,271,346.04/194,689.56
  6. Step 6: Final answer
    x = 114,624.90

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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.