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Finding the Fourth Proportional to 209,595.50, 289,241.31 and 114,102.86

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Solution

The fourth proportional to 209,595.50, 289,241.31 and 114,102.86 is: 157,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.50 : 289,241.31 = 114,102.86 : x
  2. Step 2: Convert to fraction form
    209,595.50/289,241.31 = 114,102.86/x
  3. Step 3: Cross multiply
    209,595.50x = 289,241.31 × 114,102.86
  4. Step 4: Simplify right side
    209,595.50x = 33,003,260,701.15
  5. Step 5: Solve for x
    x = 33,003,260,701.15/209,595.50
  6. Step 6: Final answer
    x = 157,461.69

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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.