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Finding the Fourth Proportional to 234,410.29, 323,486.17 and 126,980.30

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Solution

The fourth proportional to 234,410.29, 323,486.17 and 126,980.30 is: 175,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,410.29 : 323,486.17 = 126,980.30 : x
  2. Step 2: Convert to fraction form
    234,410.29/323,486.17 = 126,980.30/x
  3. Step 3: Cross multiply
    234,410.29x = 323,486.17 × 126,980.30
  4. Step 4: Simplify right side
    234,410.29x = 41,076,371,403.72
  5. Step 5: Solve for x
    x = 41,076,371,403.72/234,410.29
  6. Step 6: Final answer
    x = 175,232.80

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1.5x scale

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.