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Finding the Fourth Proportional to 194,751.54, 292,124.27 and 99,927

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Solution

The fourth proportional to 194,751.54, 292,124.27 and 99,927 is: 149,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.54 : 292,124.27 = 99,927 : x
  2. Step 2: Convert to fraction form
    194,751.54/292,124.27 = 99,927/x
  3. Step 3: Cross multiply
    194,751.54x = 292,124.27 × 99,927
  4. Step 4: Simplify right side
    194,751.54x = 29,191,101,428.66
  5. Step 5: Solve for x
    x = 29,191,101,428.66/194,751.54
  6. Step 6: Final answer
    x = 149,888.94

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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.