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Finding the Fourth Proportional to 208,858.88, 288,225.60 and 113,365.56

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Solution

The fourth proportional to 208,858.88, 288,225.60 and 113,365.56 is: 156,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.88 : 288,225.60 = 113,365.56 : x
  2. Step 2: Convert to fraction form
    208,858.88/288,225.60 = 113,365.56/x
  3. Step 3: Cross multiply
    208,858.88x = 288,225.60 × 113,365.56
  4. Step 4: Simplify right side
    208,858.88x = 32,674,856,550.34
  5. Step 5: Solve for x
    x = 32,674,856,550.34/208,858.88
  6. Step 6: Final answer
    x = 156,444.66

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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.