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Finding the Fourth Proportional to 208,858.80, 288,226.60 and 113,365.47

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Solution

The fourth proportional to 208,858.80, 288,226.60 and 113,365.47 is: 156,445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.80 : 288,226.60 = 113,365.47 : x
  2. Step 2: Convert to fraction form
    208,858.80/288,226.60 = 113,365.47/x
  3. Step 3: Cross multiply
    208,858.80x = 288,226.60 × 113,365.47
  4. Step 4: Simplify right side
    208,858.80x = 32,674,945,410.62
  5. Step 5: Solve for x
    x = 32,674,945,410.62/208,858.80
  6. Step 6: Final answer
    x = 156,445.14

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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.