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Finding the Fourth Proportional to 194,863.36, 292,308.24 and 68,488.24

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Solution

The fourth proportional to 194,863.36, 292,308.24 and 68,488.24 is: 102,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863.36 : 292,308.24 = 68,488.24 : x
  2. Step 2: Convert to fraction form
    194,863.36/292,308.24 = 68,488.24/x
  3. Step 3: Cross multiply
    194,863.36x = 292,308.24 × 68,488.24
  4. Step 4: Simplify right side
    194,863.36x = 20,019,676,895.10
  5. Step 5: Solve for x
    x = 20,019,676,895.10/194,863.36
  6. Step 6: Final answer
    x = 102,737.00

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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.