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Finding the Fourth Proportional to 290,730.20, 436,037.70 and 140,970.20

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Solution

The fourth proportional to 290,730.20, 436,037.70 and 140,970.20 is: 211,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,730.20 : 436,037.70 = 140,970.20 : x
  2. Step 2: Convert to fraction form
    290,730.20/436,037.70 = 140,970.20/x
  3. Step 3: Cross multiply
    290,730.20x = 436,037.70 × 140,970.20
  4. Step 4: Simplify right side
    290,730.20x = 61,468,321,776.54
  5. Step 5: Solve for x
    x = 61,468,321,776.54/290,730.20
  6. Step 6: Final answer
    x = 211,427.37

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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.