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Finding the Fourth Proportional to 209,992.96, 289,783.92 and 114,501.52

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Solution

The fourth proportional to 209,992.96, 289,783.92 and 114,501.52 is: 158,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,992.96 : 289,783.92 = 114,501.52 : x
  2. Step 2: Convert to fraction form
    209,992.96/289,783.92 = 114,501.52/x
  3. Step 3: Cross multiply
    209,992.96x = 289,783.92 × 114,501.52
  4. Step 4: Simplify right side
    209,992.96x = 33,180,699,311.56
  5. Step 5: Solve for x
    x = 33,180,699,311.56/209,992.96
  6. Step 6: Final answer
    x = 158,008.63

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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.