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Finding the Fourth Proportional to 237,971.92, 356,721.28 and 119,281

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Solution

The fourth proportional to 237,971.92, 356,721.28 and 119,281 is: 178,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,971.92 : 356,721.28 = 119,281 : x
  2. Step 2: Convert to fraction form
    237,971.92/356,721.28 = 119,281/x
  3. Step 3: Cross multiply
    237,971.92x = 356,721.28 × 119,281
  4. Step 4: Simplify right side
    237,971.92x = 42,550,070,999.68
  5. Step 5: Solve for x
    x = 42,550,070,999.68/237,971.92
  6. Step 6: Final answer
    x = 178,802.91

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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.