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Finding the Fourth Proportional to 209,889.89, 289,654.12 and 114,402.77

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Solution

The fourth proportional to 209,889.89, 289,654.12 and 114,402.77 is: 157,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.89 : 289,654.12 = 114,402.77 : x
  2. Step 2: Convert to fraction form
    209,889.89/289,654.12 = 114,402.77/x
  3. Step 3: Cross multiply
    209,889.89x = 289,654.12 × 114,402.77
  4. Step 4: Simplify right side
    209,889.89x = 33,137,233,669.91
  5. Step 5: Solve for x
    x = 33,137,233,669.91/209,889.89
  6. Step 6: Final answer
    x = 157,879.13

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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.