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Finding the Fourth Proportional to 259,905.80, 389,858.70 and 160,178.60

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Solution

The fourth proportional to 259,905.80, 389,858.70 and 160,178.60 is: 240,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,905.80 : 389,858.70 = 160,178.60 : x
  2. Step 2: Convert to fraction form
    259,905.80/389,858.70 = 160,178.60/x
  3. Step 3: Cross multiply
    259,905.80x = 389,858.70 × 160,178.60
  4. Step 4: Simplify right side
    259,905.80x = 62,447,020,763.82
  5. Step 5: Solve for x
    x = 62,447,020,763.82/259,905.80
  6. Step 6: Final answer
    x = 240,267.90

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1.5x scale

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.