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Finding the Fourth Proportional to 193,400.80, 290,101.20 and 140,256.70

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Solution

The fourth proportional to 193,400.80, 290,101.20 and 140,256.70 is: 210,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,400.80 : 290,101.20 = 140,256.70 : x
  2. Step 2: Convert to fraction form
    193,400.80/290,101.20 = 140,256.70/x
  3. Step 3: Cross multiply
    193,400.80x = 290,101.20 × 140,256.70
  4. Step 4: Simplify right side
    193,400.80x = 40,688,636,978.04
  5. Step 5: Solve for x
    x = 40,688,636,978.04/193,400.80
  6. Step 6: Final answer
    x = 210,385.05

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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.