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Finding the Fourth Proportional to 207,947.80, 311,403.30 and 166,475.80

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Solution

The fourth proportional to 207,947.80, 311,403.30 and 166,475.80 is: 249,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,947.80 : 311,403.30 = 166,475.80 : x
  2. Step 2: Convert to fraction form
    207,947.80/311,403.30 = 166,475.80/x
  3. Step 3: Cross multiply
    207,947.80x = 311,403.30 × 166,475.80
  4. Step 4: Simplify right side
    207,947.80x = 51,841,113,490.14
  5. Step 5: Solve for x
    x = 51,841,113,490.14/207,947.80
  6. Step 6: Final answer
    x = 249,298.69

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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.