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Finding the Fourth Proportional to 234,757.74, 323,970.09 and 144,068.31

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Solution

The fourth proportional to 234,757.74, 323,970.09 and 144,068.31 is: 198,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757.74 : 323,970.09 = 144,068.31 : x
  2. Step 2: Convert to fraction form
    234,757.74/323,970.09 = 144,068.31/x
  3. Step 3: Cross multiply
    234,757.74x = 323,970.09 × 144,068.31
  4. Step 4: Simplify right side
    234,757.74x = 46,673,824,841.86
  5. Step 5: Solve for x
    x = 46,673,824,841.86/234,757.74
  6. Step 6: Final answer
    x = 198,816.98

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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.