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Finding the Fourth Proportional to 165,794.90, 248,163.15 and 130,802.90

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Solution

The fourth proportional to 165,794.90, 248,163.15 and 130,802.90 is: 195,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,794.90 : 248,163.15 = 130,802.90 : x
  2. Step 2: Convert to fraction form
    165,794.90/248,163.15 = 130,802.90/x
  3. Step 3: Cross multiply
    165,794.90x = 248,163.15 × 130,802.90
  4. Step 4: Simplify right side
    165,794.90x = 32,460,459,693.14
  5. Step 5: Solve for x
    x = 32,460,459,693.14/165,794.90
  6. Step 6: Final answer
    x = 195,786.84

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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.