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Finding the Fourth Proportional to 194,691.48, 292,029.12 and 106,503.72

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Solution

The fourth proportional to 194,691.48, 292,029.12 and 106,503.72 is: 159,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,691.48 : 292,029.12 = 106,503.72 : x
  2. Step 2: Convert to fraction form
    194,691.48/292,029.12 = 106,503.72/x
  3. Step 3: Cross multiply
    194,691.48x = 292,029.12 × 106,503.72
  4. Step 4: Simplify right side
    194,691.48x = 31,102,187,628.33
  5. Step 5: Solve for x
    x = 31,102,187,628.33/194,691.48
  6. Step 6: Final answer
    x = 159,751.15

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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.