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Finding the Fourth Proportional to 208,852.98, 288,217.44 and 113,359.71

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Solution

The fourth proportional to 208,852.98, 288,217.44 and 113,359.71 is: 156,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.98 : 288,217.44 = 113,359.71 : x
  2. Step 2: Convert to fraction form
    208,852.98/288,217.44 = 113,359.71/x
  3. Step 3: Cross multiply
    208,852.98x = 288,217.44 × 113,359.71
  4. Step 4: Simplify right side
    208,852.98x = 32,672,244,848.54
  5. Step 5: Solve for x
    x = 32,672,244,848.54/208,852.98
  6. Step 6: Final answer
    x = 156,436.58

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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.