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Finding the Fourth Proportional to 253,874.41, 380,802.36 and 102,118.48

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Solution

The fourth proportional to 253,874.41, 380,802.36 and 102,118.48 is: 153,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,874.41 : 380,802.36 = 102,118.48 : x
  2. Step 2: Convert to fraction form
    253,874.41/380,802.36 = 102,118.48/x
  3. Step 3: Cross multiply
    253,874.41x = 380,802.36 × 102,118.48
  4. Step 4: Simplify right side
    253,874.41x = 38,886,957,231.61
  5. Step 5: Solve for x
    x = 38,886,957,231.61/253,874.41
  6. Step 6: Final answer
    x = 153,174.00

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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.