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Finding the Fourth Proportional to 209,248.50, 288,751.90 and 113,754.77

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Solution

The fourth proportional to 209,248.50, 288,751.90 and 113,754.77 is: 156,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,248.50 : 288,751.90 = 113,754.77 : x
  2. Step 2: Convert to fraction form
    209,248.50/288,751.90 = 113,754.77/x
  3. Step 3: Cross multiply
    209,248.50x = 288,751.90 × 113,754.77
  4. Step 4: Simplify right side
    209,248.50x = 32,846,905,971.56
  5. Step 5: Solve for x
    x = 32,846,905,971.56/209,248.50
  6. Step 6: Final answer
    x = 156,975.59

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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.