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Finding the Fourth Proportional to 253,980.50, 380,927.19 and 119,058.26

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Solution

The fourth proportional to 253,980.50, 380,927.19 and 119,058.26 is: 178,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,980.50 : 380,927.19 = 119,058.26 : x
  2. Step 2: Convert to fraction form
    253,980.50/380,927.19 = 119,058.26/x
  3. Step 3: Cross multiply
    253,980.50x = 380,927.19 × 119,058.26
  4. Step 4: Simplify right side
    253,980.50x = 45,352,528,428.09
  5. Step 5: Solve for x
    x = 45,352,528,428.09/253,980.50
  6. Step 6: Final answer
    x = 178,566.97

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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.