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Finding the Fourth Proportional to 102,097.36, 153,162.38 and 35,556.40

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Solution

The fourth proportional to 102,097.36, 153,162.38 and 35,556.40 is: 53,340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,097.36 : 153,162.38 = 35,556.40 : x
  2. Step 2: Convert to fraction form
    102,097.36/153,162.38 = 35,556.40/x
  3. Step 3: Cross multiply
    102,097.36x = 153,162.38 × 35,556.40
  4. Step 4: Simplify right side
    102,097.36x = 5,445,902,848.23
  5. Step 5: Solve for x
    x = 5,445,902,848.23/102,097.36
  6. Step 6: Final answer
    x = 53,340.29

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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.