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Finding the Fourth Proportional to 126,409.12, 174,445.68 and 69,821.44

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Solution

The fourth proportional to 126,409.12, 174,445.68 and 69,821.44 is: 96,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,409.12 : 174,445.68 = 69,821.44 : x
  2. Step 2: Convert to fraction form
    126,409.12/174,445.68 = 69,821.44/x
  3. Step 3: Cross multiply
    126,409.12x = 174,445.68 × 69,821.44
  4. Step 4: Simplify right side
    126,409.12x = 12,180,048,579.38
  5. Step 5: Solve for x
    x = 12,180,048,579.38/126,409.12
  6. Step 6: Final answer
    x = 96,354.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.