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Finding the Fourth Proportional to 121,214.60, 181,929.90 and 71,232.20

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Solution

The fourth proportional to 121,214.60, 181,929.90 and 71,232.20 is: 106,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,214.60 : 181,929.90 = 71,232.20 : x
  2. Step 2: Convert to fraction form
    121,214.60/181,929.90 = 71,232.20/x
  3. Step 3: Cross multiply
    121,214.60x = 181,929.90 × 71,232.20
  4. Step 4: Simplify right side
    121,214.60x = 12,959,267,022.78
  5. Step 5: Solve for x
    x = 12,959,267,022.78/121,214.60
  6. Step 6: Final answer
    x = 106,911.77

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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.