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Finding the Fourth Proportional to 194,995.76, 292,495.08 and 61,876.40

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Solution

The fourth proportional to 194,995.76, 292,495.08 and 61,876.40 is: 92,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,995.76 : 292,495.08 = 61,876.40 : x
  2. Step 2: Convert to fraction form
    194,995.76/292,495.08 = 61,876.40/x
  3. Step 3: Cross multiply
    194,995.76x = 292,495.08 × 61,876.40
  4. Step 4: Simplify right side
    194,995.76x = 18,098,542,568.11
  5. Step 5: Solve for x
    x = 18,098,542,568.11/194,995.76
  6. Step 6: Final answer
    x = 92,815.06

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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.