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Finding the Fourth Proportional to 146,412.90, 219,619.35 and 114,920.10

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Solution

The fourth proportional to 146,412.90, 219,619.35 and 114,920.10 is: 172,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,412.90 : 219,619.35 = 114,920.10 : x
  2. Step 2: Convert to fraction form
    146,412.90/219,619.35 = 114,920.10/x
  3. Step 3: Cross multiply
    146,412.90x = 219,619.35 × 114,920.10
  4. Step 4: Simplify right side
    146,412.90x = 25,238,677,663.94
  5. Step 5: Solve for x
    x = 25,238,677,663.94/146,412.90
  6. Step 6: Final answer
    x = 172,380.15

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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.