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Finding the Fourth Proportional to 165,491.40, 248,018.40 and 146,683.20

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Solution

The fourth proportional to 165,491.40, 248,018.40 and 146,683.20 is: 219,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,491.40 : 248,018.40 = 146,683.20 : x
  2. Step 2: Convert to fraction form
    165,491.40/248,018.40 = 146,683.20/x
  3. Step 3: Cross multiply
    165,491.40x = 248,018.40 × 146,683.20
  4. Step 4: Simplify right side
    165,491.40x = 36,380,132,570.88
  5. Step 5: Solve for x
    x = 36,380,132,570.88/165,491.40
  6. Step 6: Final answer
    x = 219,830.96

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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.