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Finding the Fourth Proportional to 292,802.78, 404,088.89 and 178,060.14

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Solution

The fourth proportional to 292,802.78, 404,088.89 and 178,060.14 is: 245,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,802.78 : 404,088.89 = 178,060.14 : x
  2. Step 2: Convert to fraction form
    292,802.78/404,088.89 = 178,060.14/x
  3. Step 3: Cross multiply
    292,802.78x = 404,088.89 × 178,060.14
  4. Step 4: Simplify right side
    292,802.78x = 71,952,123,435.54
  5. Step 5: Solve for x
    x = 71,952,123,435.54/292,802.78
  6. Step 6: Final answer
    x = 245,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.