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Finding the Fourth Proportional to 208,854.33, 288,219.24 and 113,361

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Solution

The fourth proportional to 208,854.33, 288,219.24 and 113,361 is: 156,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.33 : 288,219.24 = 113,361 : x
  2. Step 2: Convert to fraction form
    208,854.33/288,219.24 = 113,361/x
  3. Step 3: Cross multiply
    208,854.33x = 288,219.24 × 113,361
  4. Step 4: Simplify right side
    208,854.33x = 32,672,821,265.64
  5. Step 5: Solve for x
    x = 32,672,821,265.64/208,854.33
  6. Step 6: Final answer
    x = 156,438.32

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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.