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Finding the Fourth Proportional to 178,207.68, 245,833.29 and 110,202.96

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Solution

The fourth proportional to 178,207.68, 245,833.29 and 110,202.96 is: 152,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,207.68 : 245,833.29 = 110,202.96 : x
  2. Step 2: Convert to fraction form
    178,207.68/245,833.29 = 110,202.96/x
  3. Step 3: Cross multiply
    178,207.68x = 245,833.29 × 110,202.96
  4. Step 4: Simplify right side
    178,207.68x = 27,091,556,224.54
  5. Step 5: Solve for x
    x = 27,091,556,224.54/178,207.68
  6. Step 6: Final answer
    x = 152,022.38

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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.