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Finding the Fourth Proportional to 194,752.54, 292,125.76 and 99,928

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Solution

The fourth proportional to 194,752.54, 292,125.76 and 99,928 is: 149,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,752.54 : 292,125.76 = 99,928 : x
  2. Step 2: Convert to fraction form
    194,752.54/292,125.76 = 99,928/x
  3. Step 3: Cross multiply
    194,752.54x = 292,125.76 × 99,928
  4. Step 4: Simplify right side
    194,752.54x = 29,191,542,945.28
  5. Step 5: Solve for x
    x = 29,191,542,945.28/194,752.54
  6. Step 6: Final answer
    x = 149,890.44

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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.