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Finding the Fourth Proportional to 209,950.56, 289,730.88 and 114,456.96

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Solution

The fourth proportional to 209,950.56, 289,730.88 and 114,456.96 is: 157,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,950.56 : 289,730.88 = 114,456.96 : x
  2. Step 2: Convert to fraction form
    209,950.56/289,730.88 = 114,456.96/x
  3. Step 3: Cross multiply
    209,950.56x = 289,730.88 × 114,456.96
  4. Step 4: Simplify right side
    209,950.56x = 33,161,715,742.92
  5. Step 5: Solve for x
    x = 33,161,715,742.92/209,950.56
  6. Step 6: Final answer
    x = 157,950.12

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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.