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Finding the Fourth Proportional to 194,906.72, 292,360.10 and 47,162.72

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Solution

The fourth proportional to 194,906.72, 292,360.10 and 47,162.72 is: 70,744.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,906.72 : 292,360.10 = 47,162.72 : x
  2. Step 2: Convert to fraction form
    194,906.72/292,360.10 = 47,162.72/x
  3. Step 3: Cross multiply
    194,906.72x = 292,360.10 × 47,162.72
  4. Step 4: Simplify right side
    194,906.72x = 13,788,497,535.47
  5. Step 5: Solve for x
    x = 13,788,497,535.47/194,906.72
  6. Step 6: Final answer
    x = 70,744.08

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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.